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Finding the Fourth Proportional to 410,641.90, 615,103.98 and 330,245.73

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Solution

The fourth proportional to 410,641.90, 615,103.98 and 330,245.73 is: 494,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,641.90 : 615,103.98 = 330,245.73 : x
  2. Step 2: Convert to fraction form
    410,641.90/615,103.98 = 330,245.73/x
  3. Step 3: Cross multiply
    410,641.90x = 615,103.98 × 330,245.73
  4. Step 4: Simplify right side
    410,641.90x = 203,135,461,662.58
  5. Step 5: Solve for x
    x = 203,135,461,662.58/410,641.90
  6. Step 6: Final answer
    x = 494,677.88

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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.