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Finding the Fourth Proportional to 431,444.57, 647,186.29 and 165,136.01

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Solution

The fourth proportional to 431,444.57, 647,186.29 and 165,136.01 is: 247,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,444.57 : 647,186.29 = 165,136.01 : x
  2. Step 2: Convert to fraction form
    431,444.57/647,186.29 = 165,136.01/x
  3. Step 3: Cross multiply
    431,444.57x = 647,186.29 × 165,136.01
  4. Step 4: Simplify right side
    431,444.57x = 106,873,758,008.53
  5. Step 5: Solve for x
    x = 106,873,758,008.53/431,444.57
  6. Step 6: Final answer
    x = 247,711.45

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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.