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Finding the Fourth Proportional to 442,914.60, 664,371.90 and 413,171.40

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Solution

The fourth proportional to 442,914.60, 664,371.90 and 413,171.40 is: 619,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,914.60 : 664,371.90 = 413,171.40 : x
  2. Step 2: Convert to fraction form
    442,914.60/664,371.90 = 413,171.40/x
  3. Step 3: Cross multiply
    442,914.60x = 664,371.90 × 413,171.40
  4. Step 4: Simplify right side
    442,914.60x = 274,499,468,043.66
  5. Step 5: Solve for x
    x = 274,499,468,043.66/442,914.60
  6. Step 6: Final answer
    x = 619,757.10

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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.