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Finding the Fourth Proportional to 218,412.53, 327,697.64 and 76,278.74

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Solution

The fourth proportional to 218,412.53, 327,697.64 and 76,278.74 is: 114,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,412.53 : 327,697.64 = 76,278.74 : x
  2. Step 2: Convert to fraction form
    218,412.53/327,697.64 = 76,278.74/x
  3. Step 3: Cross multiply
    218,412.53x = 327,697.64 × 76,278.74
  4. Step 4: Simplify right side
    218,412.53x = 24,996,361,346.34
  5. Step 5: Solve for x
    x = 24,996,361,346.34/218,412.53
  6. Step 6: Final answer
    x = 114,445.64

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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.