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Finding the Fourth Proportional to 509,432.71, 703,024.42 and 280,011.21

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Solution

The fourth proportional to 509,432.71, 703,024.42 and 280,011.21 is: 386,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,432.71 : 703,024.42 = 280,011.21 : x
  2. Step 2: Convert to fraction form
    509,432.71/703,024.42 = 280,011.21/x
  3. Step 3: Cross multiply
    509,432.71x = 703,024.42 × 280,011.21
  4. Step 4: Simplify right side
    509,432.71x = 196,854,719,646.91
  5. Step 5: Solve for x
    x = 196,854,719,646.91/509,432.71
  6. Step 6: Final answer
    x = 386,419.47

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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.