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Finding the Fourth Proportional to 321,490.87, 443,454.07 and 206,572.01

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Solution

The fourth proportional to 321,490.87, 443,454.07 and 206,572.01 is: 284,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,490.87 : 443,454.07 = 206,572.01 : x
  2. Step 2: Convert to fraction form
    321,490.87/443,454.07 = 206,572.01/x
  3. Step 3: Cross multiply
    321,490.87x = 443,454.07 × 206,572.01
  4. Step 4: Simplify right side
    321,490.87x = 91,605,198,582.58
  5. Step 5: Solve for x
    x = 91,605,198,582.58/321,490.87
  6. Step 6: Final answer
    x = 284,938.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.