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Finding the Fourth Proportional to 284,595.20, 392,763.71 and 162,092.78

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Solution

The fourth proportional to 284,595.20, 392,763.71 and 162,092.78 is: 223,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,595.20 : 392,763.71 = 162,092.78 : x
  2. Step 2: Convert to fraction form
    284,595.20/392,763.71 = 162,092.78/x
  3. Step 3: Cross multiply
    284,595.20x = 392,763.71 × 162,092.78
  4. Step 4: Simplify right side
    284,595.20x = 63,664,158,862.73
  5. Step 5: Solve for x
    x = 63,664,158,862.73/284,595.20
  6. Step 6: Final answer
    x = 223,700.75

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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.