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Finding the Fourth Proportional to 371,644.20, 512,849.88 and 201,877.92

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Solution

The fourth proportional to 371,644.20, 512,849.88 and 201,877.92 is: 278,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,644.20 : 512,849.88 = 201,877.92 : x
  2. Step 2: Convert to fraction form
    371,644.20/512,849.88 = 201,877.92/x
  3. Step 3: Cross multiply
    371,644.20x = 512,849.88 × 201,877.92
  4. Step 4: Simplify right side
    371,644.20x = 103,533,067,046.65
  5. Step 5: Solve for x
    x = 103,533,067,046.65/371,644.20
  6. Step 6: Final answer
    x = 278,581.15

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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.