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Finding the Fourth Proportional to 702,961.10, 1,051,984.05 and 643,978.70

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Solution

The fourth proportional to 702,961.10, 1,051,984.05 and 643,978.70 is: 963,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,961.10 : 1,051,984.05 = 643,978.70 : x
  2. Step 2: Convert to fraction form
    702,961.10/1,051,984.05 = 643,978.70/x
  3. Step 3: Cross multiply
    702,961.10x = 1,051,984.05 × 643,978.70
  4. Step 4: Simplify right side
    702,961.10x = 677,455,320,939.74
  5. Step 5: Solve for x
    x = 677,455,320,939.74/702,961.10
  6. Step 6: Final answer
    x = 963,716.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.