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Finding the Fourth Proportional to 410,543.70, 615,815.55 and 269,538.90

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Solution

The fourth proportional to 410,543.70, 615,815.55 and 269,538.90 is: 404,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,543.70 : 615,815.55 = 269,538.90 : x
  2. Step 2: Convert to fraction form
    410,543.70/615,815.55 = 269,538.90/x
  3. Step 3: Cross multiply
    410,543.70x = 615,815.55 × 269,538.90
  4. Step 4: Simplify right side
    410,543.70x = 165,986,245,949.90
  5. Step 5: Solve for x
    x = 165,986,245,949.90/410,543.70
  6. Step 6: Final answer
    x = 404,308.35

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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.