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Finding the Fourth Proportional to 408,713.88, 564,019.74 and 229,865.88

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Solution

The fourth proportional to 408,713.88, 564,019.74 and 229,865.88 is: 317,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,713.88 : 564,019.74 = 229,865.88 : x
  2. Step 2: Convert to fraction form
    408,713.88/564,019.74 = 229,865.88/x
  3. Step 3: Cross multiply
    408,713.88x = 564,019.74 × 229,865.88
  4. Step 4: Simplify right side
    408,713.88x = 129,648,893,872.47
  5. Step 5: Solve for x
    x = 129,648,893,872.47/408,713.88
  6. Step 6: Final answer
    x = 317,211.87

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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.