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Finding the Fourth Proportional to 422,434.57, 633,659.96 and 138,126.19

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Solution

The fourth proportional to 422,434.57, 633,659.96 and 138,126.19 is: 207,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,434.57 : 633,659.96 = 138,126.19 : x
  2. Step 2: Convert to fraction form
    422,434.57/633,659.96 = 138,126.19/x
  3. Step 3: Cross multiply
    422,434.57x = 633,659.96 × 138,126.19
  4. Step 4: Simplify right side
    422,434.57x = 87,525,036,030.35
  5. Step 5: Solve for x
    x = 87,525,036,030.35/422,434.57
  6. Step 6: Final answer
    x = 207,191.94

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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.