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Finding the Fourth Proportional to 638,471.52, 957,060.90 and 413,974.08

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Solution

The fourth proportional to 638,471.52, 957,060.90 and 413,974.08 is: 620,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,471.52 : 957,060.90 = 413,974.08 : x
  2. Step 2: Convert to fraction form
    638,471.52/957,060.90 = 413,974.08/x
  3. Step 3: Cross multiply
    638,471.52x = 957,060.90 × 413,974.08
  4. Step 4: Simplify right side
    638,471.52x = 396,198,405,581.47
  5. Step 5: Solve for x
    x = 396,198,405,581.47/638,471.52
  6. Step 6: Final answer
    x = 620,542.02

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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.