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Finding the Fourth Proportional to 288,820.44, 433,236.60 and 89,140.96

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Solution

The fourth proportional to 288,820.44, 433,236.60 and 89,140.96 is: 133,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,820.44 : 433,236.60 = 89,140.96 : x
  2. Step 2: Convert to fraction form
    288,820.44/433,236.60 = 89,140.96/x
  3. Step 3: Cross multiply
    288,820.44x = 433,236.60 × 89,140.96
  4. Step 4: Simplify right side
    288,820.44x = 38,619,126,431.14
  5. Step 5: Solve for x
    x = 38,619,126,431.14/288,820.44
  6. Step 6: Final answer
    x = 133,713.27

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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.