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Finding the Fourth Proportional to 421,791.60, 632,687.40 and 272,200.80

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Solution

The fourth proportional to 421,791.60, 632,687.40 and 272,200.80 is: 408,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,791.60 : 632,687.40 = 272,200.80 : x
  2. Step 2: Convert to fraction form
    421,791.60/632,687.40 = 272,200.80/x
  3. Step 3: Cross multiply
    421,791.60x = 632,687.40 × 272,200.80
  4. Step 4: Simplify right side
    421,791.60x = 172,218,016,429.92
  5. Step 5: Solve for x
    x = 172,218,016,429.92/421,791.60
  6. Step 6: Final answer
    x = 408,301.20

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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.