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Finding the Fourth Proportional to 285,796.25, 428,385.90 and 125,729.72

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Solution

The fourth proportional to 285,796.25, 428,385.90 and 125,729.72 is: 188,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,796.25 : 428,385.90 = 125,729.72 : x
  2. Step 2: Convert to fraction form
    285,796.25/428,385.90 = 125,729.72/x
  3. Step 3: Cross multiply
    285,796.25x = 428,385.90 × 125,729.72
  4. Step 4: Simplify right side
    285,796.25x = 53,860,837,117.02
  5. Step 5: Solve for x
    x = 53,860,837,117.02/285,796.25
  6. Step 6: Final answer
    x = 188,458.87

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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.