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Finding the Fourth Proportional to 283,711.71, 391,522.06 and 156,389.43

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Solution

The fourth proportional to 283,711.71, 391,522.06 and 156,389.43 is: 215,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,711.71 : 391,522.06 = 156,389.43 : x
  2. Step 2: Convert to fraction form
    283,711.71/391,522.06 = 156,389.43/x
  3. Step 3: Cross multiply
    283,711.71x = 391,522.06 × 156,389.43
  4. Step 4: Simplify right side
    283,711.71x = 61,229,911,795.83
  5. Step 5: Solve for x
    x = 61,229,911,795.83/283,711.71
  6. Step 6: Final answer
    x = 215,817.36

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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.