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Finding the Fourth Proportional to 229,310.61, 316,438 and 127,342.54

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Solution

The fourth proportional to 229,310.61, 316,438 and 127,342.54 is: 175,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,310.61 : 316,438 = 127,342.54 : x
  2. Step 2: Convert to fraction form
    229,310.61/316,438 = 127,342.54/x
  3. Step 3: Cross multiply
    229,310.61x = 316,438 × 127,342.54
  4. Step 4: Simplify right side
    229,310.61x = 40,296,018,672.52
  5. Step 5: Solve for x
    x = 40,296,018,672.52/229,310.61
  6. Step 6: Final answer
    x = 175,726.80

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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.