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Finding the Fourth Proportional to 284,022.80, 391,952.72 and 156,702.12

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Solution

The fourth proportional to 284,022.80, 391,952.72 and 156,702.12 is: 216,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,022.80 : 391,952.72 = 156,702.12 : x
  2. Step 2: Convert to fraction form
    284,022.80/391,952.72 = 156,702.12/x
  3. Step 3: Cross multiply
    284,022.80x = 391,952.72 × 156,702.12
  4. Step 4: Simplify right side
    284,022.80x = 61,419,822,163.77
  5. Step 5: Solve for x
    x = 61,419,822,163.77/284,022.80
  6. Step 6: Final answer
    x = 216,249.62

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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.