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Finding the Fourth Proportional to 431,298.27, 647,235.36 and 150,815.52

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Solution

The fourth proportional to 431,298.27, 647,235.36 and 150,815.52 is: 226,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,298.27 : 647,235.36 = 150,815.52 : x
  2. Step 2: Convert to fraction form
    431,298.27/647,235.36 = 150,815.52/x
  3. Step 3: Cross multiply
    431,298.27x = 647,235.36 × 150,815.52
  4. Step 4: Simplify right side
    431,298.27x = 97,613,137,380.79
  5. Step 5: Solve for x
    x = 97,613,137,380.79/431,298.27
  6. Step 6: Final answer
    x = 226,323.97

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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.