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Finding the Fourth Proportional to 285,045.43, 427,634.62 and 82,645.74

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Solution

The fourth proportional to 285,045.43, 427,634.62 and 82,645.74 is: 123,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,045.43 : 427,634.62 = 82,645.74 : x
  2. Step 2: Convert to fraction form
    285,045.43/427,634.62 = 82,645.74/x
  3. Step 3: Cross multiply
    285,045.43x = 427,634.62 × 82,645.74
  4. Step 4: Simplify right side
    285,045.43x = 35,342,179,877.79
  5. Step 5: Solve for x
    x = 35,342,179,877.79/285,045.43
  6. Step 6: Final answer
    x = 123,987.88

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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.