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Finding the Fourth Proportional to 408,051.90, 612,077.85 and 404,115.30

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Solution

The fourth proportional to 408,051.90, 612,077.85 and 404,115.30 is: 606,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.90 : 612,077.85 = 404,115.30 : x
  2. Step 2: Convert to fraction form
    408,051.90/612,077.85 = 404,115.30/x
  3. Step 3: Cross multiply
    408,051.90x = 612,077.85 × 404,115.30
  4. Step 4: Simplify right side
    408,051.90x = 247,350,023,976.11
  5. Step 5: Solve for x
    x = 247,350,023,976.11/408,051.90
  6. Step 6: Final answer
    x = 606,172.95

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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.