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Finding the Fourth Proportional to 422,332.80, 633,433.16 and 138,021.08

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Solution

The fourth proportional to 422,332.80, 633,433.16 and 138,021.08 is: 207,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,332.80 : 633,433.16 = 138,021.08 : x
  2. Step 2: Convert to fraction form
    422,332.80/633,433.16 = 138,021.08/x
  3. Step 3: Cross multiply
    422,332.80x = 633,433.16 × 138,021.08
  4. Step 4: Simplify right side
    422,332.80x = 87,427,128,851.01
  5. Step 5: Solve for x
    x = 87,427,128,851.01/422,332.80
  6. Step 6: Final answer
    x = 207,010.04

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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.