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Finding the Fourth Proportional to 437,497.20, 656,245.80 and 407,972.70

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Solution

The fourth proportional to 437,497.20, 656,245.80 and 407,972.70 is: 611,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,497.20 : 656,245.80 = 407,972.70 : x
  2. Step 2: Convert to fraction form
    437,497.20/656,245.80 = 407,972.70/x
  3. Step 3: Cross multiply
    437,497.20x = 656,245.80 × 407,972.70
  4. Step 4: Simplify right side
    437,497.20x = 267,730,370,889.66
  5. Step 5: Solve for x
    x = 267,730,370,889.66/437,497.20
  6. Step 6: Final answer
    x = 611,959.05

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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.