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Finding the Fourth Proportional to 422,459.50, 633,689.26 and 141,976.76

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Solution

The fourth proportional to 422,459.50, 633,689.26 and 141,976.76 is: 212,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,459.50 : 633,689.26 = 141,976.76 : x
  2. Step 2: Convert to fraction form
    422,459.50/633,689.26 = 141,976.76/x
  3. Step 3: Cross multiply
    422,459.50x = 633,689.26 × 141,976.76
  4. Step 4: Simplify right side
    422,459.50x = 89,969,147,981.60
  5. Step 5: Solve for x
    x = 89,969,147,981.60/422,459.50
  6. Step 6: Final answer
    x = 212,965.14

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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.