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Finding the Fourth Proportional to 284,720.76, 392,914.53 and 171,565.38

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Solution

The fourth proportional to 284,720.76, 392,914.53 and 171,565.38 is: 236,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,720.76 : 392,914.53 = 171,565.38 : x
  2. Step 2: Convert to fraction form
    284,720.76/392,914.53 = 171,565.38/x
  3. Step 3: Cross multiply
    284,720.76x = 392,914.53 × 171,565.38
  4. Step 4: Simplify right side
    284,720.76x = 67,410,530,646.97
  5. Step 5: Solve for x
    x = 67,410,530,646.97/284,720.76
  6. Step 6: Final answer
    x = 236,760.15

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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.