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Finding the Fourth Proportional to 1,299,962,493.90, 1,793,951,718.74 and 705,246,978.24

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Solution

The fourth proportional to 1,299,962,493.90, 1,793,951,718.74 and 705,246,978.24 is: 973,242,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,962,493.90 : 1,793,951,718.74 = 705,246,978.24 : x
  2. Step 2: Convert to fraction form
    1,299,962,493.90/1,793,951,718.74 = 705,246,978.24/x
  3. Step 3: Cross multiply
    1,299,962,493.90x = 1,793,951,718.74 × 705,246,978.24
  4. Step 4: Simplify right side
    1,299,962,493.90x = 1,265,179,028,749,839,360
  5. Step 5: Solve for x
    x = 1,265,179,028,749,839,360/1,299,962,493.90
  6. Step 6: Final answer
    x = 973,242,716.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.