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Finding the Fourth Proportional to 284,726.25, 392,888.12 and 157,384.53

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Solution

The fourth proportional to 284,726.25, 392,888.12 and 157,384.53 is: 217,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.25 : 392,888.12 = 157,384.53 : x
  2. Step 2: Convert to fraction form
    284,726.25/392,888.12 = 157,384.53/x
  3. Step 3: Cross multiply
    284,726.25x = 392,888.12 × 157,384.53
  4. Step 4: Simplify right side
    284,726.25x = 61,834,511,321.86
  5. Step 5: Solve for x
    x = 61,834,511,321.86/284,726.25
  6. Step 6: Final answer
    x = 217,171.80

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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.