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Finding the Fourth Proportional to 218,415.28, 327,701.76 and 76,281.48

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Solution

The fourth proportional to 218,415.28, 327,701.76 and 76,281.48 is: 114,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,415.28 : 327,701.76 = 76,281.48 : x
  2. Step 2: Convert to fraction form
    218,415.28/327,701.76 = 76,281.48/x
  3. Step 3: Cross multiply
    218,415.28x = 327,701.76 × 76,281.48
  4. Step 4: Simplify right side
    218,415.28x = 24,997,575,251.40
  5. Step 5: Solve for x
    x = 24,997,575,251.40/218,415.28
  6. Step 6: Final answer
    x = 114,449.75

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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.