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Finding the Fourth Proportional to 700,705.72, 966,973.86 and 378,415.84

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Solution

The fourth proportional to 700,705.72, 966,973.86 and 378,415.84 is: 522,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,705.72 : 966,973.86 = 378,415.84 : x
  2. Step 2: Convert to fraction form
    700,705.72/966,973.86 = 378,415.84/x
  3. Step 3: Cross multiply
    700,705.72x = 966,973.86 × 378,415.84
  4. Step 4: Simplify right side
    700,705.72x = 365,918,225,489.94
  5. Step 5: Solve for x
    x = 365,918,225,489.94/700,705.72
  6. Step 6: Final answer
    x = 522,213.84

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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.