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Finding the Fourth Proportional to 422,301.80, 633,551.12 and 138,005.47

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Solution

The fourth proportional to 422,301.80, 633,551.12 and 138,005.47 is: 207,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,301.80 : 633,551.12 = 138,005.47 : x
  2. Step 2: Convert to fraction form
    422,301.80/633,551.12 = 138,005.47/x
  3. Step 3: Cross multiply
    422,301.80x = 633,551.12 × 138,005.47
  4. Step 4: Simplify right side
    422,301.80x = 87,433,520,704.06
  5. Step 5: Solve for x
    x = 87,433,520,704.06/422,301.80
  6. Step 6: Final answer
    x = 207,040.37

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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.