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Finding the Fourth Proportional to 422,354.79, 633,466.17 and 138,043.17

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Solution

The fourth proportional to 422,354.79, 633,466.17 and 138,043.17 is: 207,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,354.79 : 633,466.17 = 138,043.17 : x
  2. Step 2: Convert to fraction form
    422,354.79/633,466.17 = 138,043.17/x
  3. Step 3: Cross multiply
    422,354.79x = 633,466.17 × 138,043.17
  4. Step 4: Simplify right side
    422,354.79x = 87,445,678,194.56
  5. Step 5: Solve for x
    x = 87,445,678,194.56/422,354.79
  6. Step 6: Final answer
    x = 207,043.18

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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.