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Finding the Fourth Proportional to 422,189.97, 633,350.56 and 141,772.83

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Solution

The fourth proportional to 422,189.97, 633,350.56 and 141,772.83 is: 212,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,189.97 : 633,350.56 = 141,772.83 : x
  2. Step 2: Convert to fraction form
    422,189.97/633,350.56 = 141,772.83/x
  3. Step 3: Cross multiply
    422,189.97x = 633,350.56 × 141,772.83
  4. Step 4: Simplify right side
    422,189.97x = 89,791,898,410.88
  5. Step 5: Solve for x
    x = 89,791,898,410.88/422,189.97
  6. Step 6: Final answer
    x = 212,681.27

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1.5x scale

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.