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Finding the Fourth Proportional to 408,304.88, 563,460.73 and 229,456.88

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Solution

The fourth proportional to 408,304.88, 563,460.73 and 229,456.88 is: 316,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,304.88 : 563,460.73 = 229,456.88 : x
  2. Step 2: Convert to fraction form
    408,304.88/563,460.73 = 229,456.88/x
  3. Step 3: Cross multiply
    408,304.88x = 563,460.73 × 229,456.88
  4. Step 4: Simplify right side
    408,304.88x = 129,289,937,717.38
  5. Step 5: Solve for x
    x = 129,289,937,717.38/408,304.88
  6. Step 6: Final answer
    x = 316,650.49

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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.