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Finding the Fourth Proportional to 309,793.14, 464,600.34 and 85,160.90

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Solution

The fourth proportional to 309,793.14, 464,600.34 and 85,160.90 is: 127,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,793.14 : 464,600.34 = 85,160.90 : x
  2. Step 2: Convert to fraction form
    309,793.14/464,600.34 = 85,160.90/x
  3. Step 3: Cross multiply
    309,793.14x = 464,600.34 × 85,160.90
  4. Step 4: Simplify right side
    309,793.14x = 39,565,784,256.21
  5. Step 5: Solve for x
    x = 39,565,784,256.21/309,793.14
  6. Step 6: Final answer
    x = 127,716.79

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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.