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Finding the Fourth Proportional to 408,713.38, 564,019.05 and 229,865.38

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Solution

The fourth proportional to 408,713.38, 564,019.05 and 229,865.38 is: 317,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,713.38 : 564,019.05 = 229,865.38 : x
  2. Step 2: Convert to fraction form
    408,713.38/564,019.05 = 229,865.38/x
  3. Step 3: Cross multiply
    408,713.38x = 564,019.05 × 229,865.38
  4. Step 4: Simplify right side
    408,713.38x = 129,648,453,255.49
  5. Step 5: Solve for x
    x = 129,648,453,255.49/408,713.38
  6. Step 6: Final answer
    x = 317,211.18

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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.