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Finding the Fourth Proportional to 281,691.90, 422,959.95 and 243,857.85

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Solution

The fourth proportional to 281,691.90, 422,959.95 and 243,857.85 is: 366,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,691.90 : 422,959.95 = 243,857.85 : x
  2. Step 2: Convert to fraction form
    281,691.90/422,959.95 = 243,857.85/x
  3. Step 3: Cross multiply
    281,691.90x = 422,959.95 × 243,857.85
  4. Step 4: Simplify right side
    281,691.90x = 103,142,105,567.54
  5. Step 5: Solve for x
    x = 103,142,105,567.54/281,691.90
  6. Step 6: Final answer
    x = 366,152.19

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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.