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Finding the Fourth Proportional to 285,864.58, 428,812.26 and 75,496.78

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Solution

The fourth proportional to 285,864.58, 428,812.26 and 75,496.78 is: 113,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,864.58 : 428,812.26 = 75,496.78 : x
  2. Step 2: Convert to fraction form
    285,864.58/428,812.26 = 75,496.78/x
  3. Step 3: Cross multiply
    285,864.58x = 428,812.26 × 75,496.78
  4. Step 4: Simplify right side
    285,864.58x = 32,373,944,854.52
  5. Step 5: Solve for x
    x = 32,373,944,854.52/285,864.58
  6. Step 6: Final answer
    x = 113,249.23

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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.