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Finding the Fourth Proportional to 410,406.90, 615,805.17 and 284,241.30

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Solution

The fourth proportional to 410,406.90, 615,805.17 and 284,241.30 is: 426,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,406.90 : 615,805.17 = 284,241.30 : x
  2. Step 2: Convert to fraction form
    410,406.90/615,805.17 = 284,241.30/x
  3. Step 3: Cross multiply
    410,406.90x = 615,805.17 × 284,241.30
  4. Step 4: Simplify right side
    410,406.90x = 175,037,262,067.52
  5. Step 5: Solve for x
    x = 175,037,262,067.52/410,406.90
  6. Step 6: Final answer
    x = 426,496.88

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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.