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Finding the Fourth Proportional to 309,867.57, 464,879.10 and 88,251.57

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Solution

The fourth proportional to 309,867.57, 464,879.10 and 88,251.57 is: 132,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,867.57 : 464,879.10 = 88,251.57 : x
  2. Step 2: Convert to fraction form
    309,867.57/464,879.10 = 88,251.57/x
  3. Step 3: Cross multiply
    309,867.57x = 464,879.10 × 88,251.57
  4. Step 4: Simplify right side
    309,867.57x = 41,026,310,435.19
  5. Step 5: Solve for x
    x = 41,026,310,435.19/309,867.57
  6. Step 6: Final answer
    x = 132,399.50

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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.