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Finding the Fourth Proportional to 431,458.18, 647,478.87 and 150,977.86

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Solution

The fourth proportional to 431,458.18, 647,478.87 and 150,977.86 is: 226,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,458.18 : 647,478.87 = 150,977.86 : x
  2. Step 2: Convert to fraction form
    431,458.18/647,478.87 = 150,977.86/x
  3. Step 3: Cross multiply
    431,458.18x = 647,478.87 × 150,977.86
  4. Step 4: Simplify right side
    431,458.18x = 97,754,974,187.82
  5. Step 5: Solve for x
    x = 97,754,974,187.82/431,458.18
  6. Step 6: Final answer
    x = 226,568.83

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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.