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Finding the Fourth Proportional to 229,294.88, 344,400.71 and 138,292.21

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Solution

The fourth proportional to 229,294.88, 344,400.71 and 138,292.21 is: 207,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,294.88 : 344,400.71 = 138,292.21 : x
  2. Step 2: Convert to fraction form
    229,294.88/344,400.71 = 138,292.21/x
  3. Step 3: Cross multiply
    229,294.88x = 344,400.71 × 138,292.21
  4. Step 4: Simplify right side
    229,294.88x = 47,627,935,828.40
  5. Step 5: Solve for x
    x = 47,627,935,828.40/229,294.88
  6. Step 6: Final answer
    x = 207,714.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.