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Finding the Fourth Proportional to 437,604.80, 656,407.20 and 142,116.80

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Solution

The fourth proportional to 437,604.80, 656,407.20 and 142,116.80 is: 213,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,604.80 : 656,407.20 = 142,116.80 : x
  2. Step 2: Convert to fraction form
    437,604.80/656,407.20 = 142,116.80/x
  3. Step 3: Cross multiply
    437,604.80x = 656,407.20 × 142,116.80
  4. Step 4: Simplify right side
    437,604.80x = 93,286,490,760.96
  5. Step 5: Solve for x
    x = 93,286,490,760.96/437,604.80
  6. Step 6: Final answer
    x = 213,175.20

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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.