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Finding the Fourth Proportional to 285,795.74, 428,385.15 and 125,729.21

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Solution

The fourth proportional to 285,795.74, 428,385.15 and 125,729.21 is: 188,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,795.74 : 428,385.15 = 125,729.21 : x
  2. Step 2: Convert to fraction form
    285,795.74/428,385.15 = 125,729.21/x
  3. Step 3: Cross multiply
    285,795.74x = 428,385.15 × 125,729.21
  4. Step 4: Simplify right side
    285,795.74x = 53,860,527,556.19
  5. Step 5: Solve for x
    x = 53,860,527,556.19/285,795.74
  6. Step 6: Final answer
    x = 188,458.12

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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.