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Finding the Fourth Proportional to 284,777.62, 427,227.72 and 85,114.24

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Solution

The fourth proportional to 284,777.62, 427,227.72 and 85,114.24 is: 127,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,777.62 : 427,227.72 = 85,114.24 : x
  2. Step 2: Convert to fraction form
    284,777.62/427,227.72 = 85,114.24/x
  3. Step 3: Cross multiply
    284,777.62x = 427,227.72 × 85,114.24
  4. Step 4: Simplify right side
    284,777.62x = 36,363,162,694.73
  5. Step 5: Solve for x
    x = 36,363,162,694.73/284,777.62
  6. Step 6: Final answer
    x = 127,689.68

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1.5x scale

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.