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Finding the Fourth Proportional to 284,032.78, 391,966.50 and 156,712.12

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Solution

The fourth proportional to 284,032.78, 391,966.50 and 156,712.12 is: 216,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,032.78 : 391,966.50 = 156,712.12 : x
  2. Step 2: Convert to fraction form
    284,032.78/391,966.50 = 156,712.12/x
  3. Step 3: Cross multiply
    284,032.78x = 391,966.50 × 156,712.12
  4. Step 4: Simplify right side
    284,032.78x = 61,425,901,183.98
  5. Step 5: Solve for x
    x = 61,425,901,183.98/284,032.78
  6. Step 6: Final answer
    x = 216,263.42

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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.