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Finding the Fourth Proportional to 437,701.20, 656,551.80 and 431,796.30

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Solution

The fourth proportional to 437,701.20, 656,551.80 and 431,796.30 is: 647,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,701.20 : 656,551.80 = 431,796.30 : x
  2. Step 2: Convert to fraction form
    437,701.20/656,551.80 = 431,796.30/x
  3. Step 3: Cross multiply
    437,701.20x = 656,551.80 × 431,796.30
  4. Step 4: Simplify right side
    437,701.20x = 283,496,637,998.34
  5. Step 5: Solve for x
    x = 283,496,637,998.34/437,701.20
  6. Step 6: Final answer
    x = 647,694.45

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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.