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Finding the Fourth Proportional to 309,821.28, 464,749.20 and 88,188

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Solution

The fourth proportional to 309,821.28, 464,749.20 and 88,188 is: 132,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,821.28 : 464,749.20 = 88,188 : x
  2. Step 2: Convert to fraction form
    309,821.28/464,749.20 = 88,188/x
  3. Step 3: Cross multiply
    309,821.28x = 464,749.20 × 88,188
  4. Step 4: Simplify right side
    309,821.28x = 40,985,302,449.60
  5. Step 5: Solve for x
    x = 40,985,302,449.60/309,821.28
  6. Step 6: Final answer
    x = 132,286.92

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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.