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Finding the Fourth Proportional to 285,359.72, 428,067.88 and 105,492.27

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Solution

The fourth proportional to 285,359.72, 428,067.88 and 105,492.27 is: 158,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,359.72 : 428,067.88 = 105,492.27 : x
  2. Step 2: Convert to fraction form
    285,359.72/428,067.88 = 105,492.27/x
  3. Step 3: Cross multiply
    285,359.72x = 428,067.88 × 105,492.27
  4. Step 4: Simplify right side
    285,359.72x = 45,157,850,234.95
  5. Step 5: Solve for x
    x = 45,157,850,234.95/285,359.72
  6. Step 6: Final answer
    x = 158,248.86

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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.