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Finding the Fourth Proportional to 284,585.27, 392,727.82 and 157,260.87

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Solution

The fourth proportional to 284,585.27, 392,727.82 and 157,260.87 is: 217,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,585.27 : 392,727.82 = 157,260.87 : x
  2. Step 2: Convert to fraction form
    284,585.27/392,727.82 = 157,260.87/x
  3. Step 3: Cross multiply
    284,585.27x = 392,727.82 × 157,260.87
  4. Step 4: Simplify right side
    284,585.27x = 61,760,718,253.25
  5. Step 5: Solve for x
    x = 61,760,718,253.25/284,585.27
  6. Step 6: Final answer
    x = 217,020.08

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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.