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Finding the Fourth Proportional to 431,997.80, 647,535.90 and 165,655.40

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Solution

The fourth proportional to 431,997.80, 647,535.90 and 165,655.40 is: 248,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,997.80 : 647,535.90 = 165,655.40 : x
  2. Step 2: Convert to fraction form
    431,997.80/647,535.90 = 165,655.40/x
  3. Step 3: Cross multiply
    431,997.80x = 647,535.90 × 165,655.40
  4. Step 4: Simplify right side
    431,997.80x = 107,267,818,528.86
  5. Step 5: Solve for x
    x = 107,267,818,528.86/431,997.80
  6. Step 6: Final answer
    x = 248,306.40

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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.