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Finding the Fourth Proportional to 284,722.50, 392,882.94 and 157,380.78

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Solution

The fourth proportional to 284,722.50, 392,882.94 and 157,380.78 is: 217,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,722.50 : 392,882.94 = 157,380.78 : x
  2. Step 2: Convert to fraction form
    284,722.50/392,882.94 = 157,380.78/x
  3. Step 3: Cross multiply
    284,722.50x = 392,882.94 × 157,380.78
  4. Step 4: Simplify right side
    284,722.50x = 61,832,223,545.89
  5. Step 5: Solve for x
    x = 61,832,223,545.89/284,722.50
  6. Step 6: Final answer
    x = 217,166.62

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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.