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Finding the Fourth Proportional to 431,437.68, 647,448.12 and 150,957.36

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Solution

The fourth proportional to 431,437.68, 647,448.12 and 150,957.36 is: 226,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,437.68 : 647,448.12 = 150,957.36 : x
  2. Step 2: Convert to fraction form
    431,437.68/647,448.12 = 150,957.36/x
  3. Step 3: Cross multiply
    431,437.68x = 647,448.12 × 150,957.36
  4. Step 4: Simplify right side
    431,437.68x = 97,737,058,932.16
  5. Step 5: Solve for x
    x = 97,737,058,932.16/431,437.68
  6. Step 6: Final answer
    x = 226,538.07

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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.