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Finding the Fourth Proportional to 442,812.30, 664,218.45 and 408,597.90

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Solution

The fourth proportional to 442,812.30, 664,218.45 and 408,597.90 is: 612,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,812.30 : 664,218.45 = 408,597.90 : x
  2. Step 2: Convert to fraction form
    442,812.30/664,218.45 = 408,597.90/x
  3. Step 3: Cross multiply
    442,812.30x = 664,218.45 × 408,597.90
  4. Step 4: Simplify right side
    442,812.30x = 271,398,263,811.26
  5. Step 5: Solve for x
    x = 271,398,263,811.26/442,812.30
  6. Step 6: Final answer
    x = 612,896.85

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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.