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Finding the Fourth Proportional to 290,046.42, 435,081.44 and 138,165.44

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Solution

The fourth proportional to 290,046.42, 435,081.44 and 138,165.44 is: 207,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,046.42 : 435,081.44 = 138,165.44 : x
  2. Step 2: Convert to fraction form
    290,046.42/435,081.44 = 138,165.44/x
  3. Step 3: Cross multiply
    290,046.42x = 435,081.44 × 138,165.44
  4. Step 4: Simplify right side
    290,046.42x = 60,113,216,763.44
  5. Step 5: Solve for x
    x = 60,113,216,763.44/290,046.42
  6. Step 6: Final answer
    x = 207,253.78

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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.