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Finding the Fourth Proportional to 229,434.91, 316,619.88 and 127,469.78

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Solution

The fourth proportional to 229,434.91, 316,619.88 and 127,469.78 is: 175,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,434.91 : 316,619.88 = 127,469.78 : x
  2. Step 2: Convert to fraction form
    229,434.91/316,619.88 = 127,469.78/x
  3. Step 3: Cross multiply
    229,434.91x = 316,619.88 × 127,469.78
  4. Step 4: Simplify right side
    229,434.91x = 40,359,465,573.44
  5. Step 5: Solve for x
    x = 40,359,465,573.44/229,434.91
  6. Step 6: Final answer
    x = 175,908.13

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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.