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Finding the Fourth Proportional to 215,761.65, 323,753.40 and 165,483.66

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Solution

The fourth proportional to 215,761.65, 323,753.40 and 165,483.66 is: 248,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,761.65 : 323,753.40 = 165,483.66 : x
  2. Step 2: Convert to fraction form
    215,761.65/323,753.40 = 165,483.66/x
  3. Step 3: Cross multiply
    215,761.65x = 323,753.40 × 165,483.66
  4. Step 4: Simplify right side
    215,761.65x = 53,575,897,569.44
  5. Step 5: Solve for x
    x = 53,575,897,569.44/215,761.65
  6. Step 6: Final answer
    x = 248,310.57

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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.