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Finding the Fourth Proportional to 431,461.20, 647,285.22 and 165,221.72

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Solution

The fourth proportional to 431,461.20, 647,285.22 and 165,221.72 is: 247,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,461.20 : 647,285.22 = 165,221.72 : x
  2. Step 2: Convert to fraction form
    431,461.20/647,285.22 = 165,221.72/x
  3. Step 3: Cross multiply
    431,461.20x = 647,285.22 × 165,221.72
  4. Step 4: Simplify right side
    431,461.20x = 106,945,580,210.85
  5. Step 5: Solve for x
    x = 106,945,580,210.85/431,461.20
  6. Step 6: Final answer
    x = 247,868.36

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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.