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Finding the Fourth Proportional to 431,463.64, 647,228.22 and 147,065.80

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Solution

The fourth proportional to 431,463.64, 647,228.22 and 147,065.80 is: 220,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,463.64 : 647,228.22 = 147,065.80 : x
  2. Step 2: Convert to fraction form
    431,463.64/647,228.22 = 147,065.80/x
  3. Step 3: Cross multiply
    431,463.64x = 647,228.22 × 147,065.80
  4. Step 4: Simplify right side
    431,463.64x = 95,185,135,956.88
  5. Step 5: Solve for x
    x = 95,185,135,956.88/431,463.64
  6. Step 6: Final answer
    x = 220,609.87

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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.