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Finding the Fourth Proportional to 285,581.60, 428,393.40 and 75,218

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Solution

The fourth proportional to 285,581.60, 428,393.40 and 75,218 is: 112,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,581.60 : 428,393.40 = 75,218 : x
  2. Step 2: Convert to fraction form
    285,581.60/428,393.40 = 75,218/x
  3. Step 3: Cross multiply
    285,581.60x = 428,393.40 × 75,218
  4. Step 4: Simplify right side
    285,581.60x = 32,222,894,761.20
  5. Step 5: Solve for x
    x = 32,222,894,761.20/285,581.60
  6. Step 6: Final answer
    x = 112,832.53

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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.