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Finding the Fourth Proportional to 229,429, 316,662.60 and 127,489.42

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Solution

The fourth proportional to 229,429, 316,662.60 and 127,489.42 is: 175,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,429 : 316,662.60 = 127,489.42 : x
  2. Step 2: Convert to fraction form
    229,429/316,662.60 = 127,489.42/x
  3. Step 3: Cross multiply
    229,429x = 316,662.60 × 127,489.42
  4. Step 4: Simplify right side
    229,429x = 40,371,131,209.69
  5. Step 5: Solve for x
    x = 40,371,131,209.69/229,429
  6. Step 6: Final answer
    x = 175,963.51

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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.