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Finding the Fourth Proportional to 313,729.52, 432,727.84 and 206,265.20

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Solution

The fourth proportional to 313,729.52, 432,727.84 and 206,265.20 is: 284,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,729.52 : 432,727.84 = 206,265.20 : x
  2. Step 2: Convert to fraction form
    313,729.52/432,727.84 = 206,265.20/x
  3. Step 3: Cross multiply
    313,729.52x = 432,727.84 × 206,265.20
  4. Step 4: Simplify right side
    313,729.52x = 89,256,694,463.17
  5. Step 5: Solve for x
    x = 89,256,694,463.17/313,729.52
  6. Step 6: Final answer
    x = 284,502.06

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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.