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Finding the Fourth Proportional to 659,180.89, 987,641.21 and 442,633.70

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Solution

The fourth proportional to 659,180.89, 987,641.21 and 442,633.70 is: 663,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,180.89 : 987,641.21 = 442,633.70 : x
  2. Step 2: Convert to fraction form
    659,180.89/987,641.21 = 442,633.70/x
  3. Step 3: Cross multiply
    659,180.89x = 987,641.21 × 442,633.70
  4. Step 4: Simplify right side
    659,180.89x = 437,163,283,054.78
  5. Step 5: Solve for x
    x = 437,163,283,054.78/659,180.89
  6. Step 6: Final answer
    x = 663,191.68

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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.