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Finding the Fourth Proportional to 391,142.16, 586,729.92 and 138,424.80

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Solution

The fourth proportional to 391,142.16, 586,729.92 and 138,424.80 is: 207,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,142.16 : 586,729.92 = 138,424.80 : x
  2. Step 2: Convert to fraction form
    391,142.16/586,729.92 = 138,424.80/x
  3. Step 3: Cross multiply
    391,142.16x = 586,729.92 × 138,424.80
  4. Step 4: Simplify right side
    391,142.16x = 81,217,971,830.02
  5. Step 5: Solve for x
    x = 81,217,971,830.02/391,142.16
  6. Step 6: Final answer
    x = 207,643.10

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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.