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Finding the Fourth Proportional to 288,712.12, 433,040.24 and 88,978.88

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Solution

The fourth proportional to 288,712.12, 433,040.24 and 88,978.88 is: 133,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,712.12 : 433,040.24 = 88,978.88 : x
  2. Step 2: Convert to fraction form
    288,712.12/433,040.24 = 88,978.88/x
  3. Step 3: Cross multiply
    288,712.12x = 433,040.24 × 88,978.88
  4. Step 4: Simplify right side
    288,712.12x = 38,531,435,550.13
  5. Step 5: Solve for x
    x = 38,531,435,550.13/288,712.12
  6. Step 6: Final answer
    x = 133,459.71

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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.