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Finding the Fourth Proportional to 408,031.08, 612,046.14 and 141,791.62

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Solution

The fourth proportional to 408,031.08, 612,046.14 and 141,791.62 is: 212,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031.08 : 612,046.14 = 141,791.62 : x
  2. Step 2: Convert to fraction form
    408,031.08/612,046.14 = 141,791.62/x
  3. Step 3: Cross multiply
    408,031.08x = 612,046.14 × 141,791.62
  4. Step 4: Simplify right side
    408,031.08x = 86,783,010,645.12
  5. Step 5: Solve for x
    x = 86,783,010,645.12/408,031.08
  6. Step 6: Final answer
    x = 212,687.26

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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.