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Finding the Fourth Proportional to 284,753.25, 392,967.69 and 157,437.06

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Solution

The fourth proportional to 284,753.25, 392,967.69 and 157,437.06 is: 217,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,753.25 : 392,967.69 = 157,437.06 : x
  2. Step 2: Convert to fraction form
    284,753.25/392,967.69 = 157,437.06/x
  3. Step 3: Cross multiply
    284,753.25x = 392,967.69 × 157,437.06
  4. Step 4: Simplify right side
    284,753.25x = 61,867,677,788.59
  5. Step 5: Solve for x
    x = 61,867,677,788.59/284,753.25
  6. Step 6: Final answer
    x = 217,267.68

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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.