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Finding the Fourth Proportional to 288,758.22, 433,186.65 and 89,074.86

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Solution

The fourth proportional to 288,758.22, 433,186.65 and 89,074.86 is: 133,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,758.22 : 433,186.65 = 89,074.86 : x
  2. Step 2: Convert to fraction form
    288,758.22/433,186.65 = 89,074.86/x
  3. Step 3: Cross multiply
    288,758.22x = 433,186.65 × 89,074.86
  4. Step 4: Simplify right side
    288,758.22x = 38,586,040,202.62
  5. Step 5: Solve for x
    x = 38,586,040,202.62/288,758.22
  6. Step 6: Final answer
    x = 133,627.50

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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.