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Finding the Fourth Proportional to 422,189.85, 633,350.39 and 141,772.71

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Solution

The fourth proportional to 422,189.85, 633,350.39 and 141,772.71 is: 212,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,189.85 : 633,350.39 = 141,772.71 : x
  2. Step 2: Convert to fraction form
    422,189.85/633,350.39 = 141,772.71/x
  3. Step 3: Cross multiply
    422,189.85x = 633,350.39 × 141,772.71
  4. Step 4: Simplify right side
    422,189.85x = 89,791,803,633.53
  5. Step 5: Solve for x
    x = 89,791,803,633.53/422,189.85
  6. Step 6: Final answer
    x = 212,681.10

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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.