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Finding the Fourth Proportional to 442,208.85, 663,248.47 and 217,508.97

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Solution

The fourth proportional to 442,208.85, 663,248.47 and 217,508.97 is: 326,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,208.85 : 663,248.47 = 217,508.97 : x
  2. Step 2: Convert to fraction form
    442,208.85/663,248.47 = 217,508.97/x
  3. Step 3: Cross multiply
    442,208.85x = 663,248.47 × 217,508.97
  4. Step 4: Simplify right side
    442,208.85x = 144,262,487,703.76
  5. Step 5: Solve for x
    x = 144,262,487,703.76/442,208.85
  6. Step 6: Final answer
    x = 326,231.57

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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.