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Finding the Fourth Proportional to 285,405.75, 428,092.22 and 85,721.72

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Solution

The fourth proportional to 285,405.75, 428,092.22 and 85,721.72 is: 128,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,405.75 : 428,092.22 = 85,721.72 : x
  2. Step 2: Convert to fraction form
    285,405.75/428,092.22 = 85,721.72/x
  3. Step 3: Cross multiply
    285,405.75x = 428,092.22 × 85,721.72
  4. Step 4: Simplify right side
    285,405.75x = 36,696,799,490.86
  5. Step 5: Solve for x
    x = 36,696,799,490.86/285,405.75
  6. Step 6: Final answer
    x = 128,577.65

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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.