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Finding the Fourth Proportional to 390,502.55, 585,847.28 and 137,839.76

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Solution

The fourth proportional to 390,502.55, 585,847.28 and 137,839.76 is: 206,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,502.55 : 585,847.28 = 137,839.76 : x
  2. Step 2: Convert to fraction form
    390,502.55/585,847.28 = 137,839.76/x
  3. Step 3: Cross multiply
    390,502.55x = 585,847.28 × 137,839.76
  4. Step 4: Simplify right side
    390,502.55x = 80,753,048,084.14
  5. Step 5: Solve for x
    x = 80,753,048,084.14/390,502.55
  6. Step 6: Final answer
    x = 206,792.63

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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.