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Finding the Fourth Proportional to 218,590.64, 327,894.05 and 76,408.10

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Solution

The fourth proportional to 218,590.64, 327,894.05 and 76,408.10 is: 114,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,590.64 : 327,894.05 = 76,408.10 : x
  2. Step 2: Convert to fraction form
    218,590.64/327,894.05 = 76,408.10/x
  3. Step 3: Cross multiply
    218,590.64x = 327,894.05 × 76,408.10
  4. Step 4: Simplify right side
    218,590.64x = 25,053,759,340.29
  5. Step 5: Solve for x
    x = 25,053,759,340.29/218,590.64
  6. Step 6: Final answer
    x = 114,614.97

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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.