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Finding the Fourth Proportional to 397,711.31, 548,841.70 and 218,863.31

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Solution

The fourth proportional to 397,711.31, 548,841.70 and 218,863.31 is: 302,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.31 : 548,841.70 = 218,863.31 : x
  2. Step 2: Convert to fraction form
    397,711.31/548,841.70 = 218,863.31/x
  3. Step 3: Cross multiply
    397,711.31x = 548,841.70 × 218,863.31
  4. Step 4: Simplify right side
    397,711.31x = 120,121,312,773.71
  5. Step 5: Solve for x
    x = 120,121,312,773.71/397,711.31
  6. Step 6: Final answer
    x = 302,031.42

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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.