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Finding the Fourth Proportional to 288,761.39, 433,203.90 and 86,373.38

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Solution

The fourth proportional to 288,761.39, 433,203.90 and 86,373.38 is: 129,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,761.39 : 433,203.90 = 86,373.38 : x
  2. Step 2: Convert to fraction form
    288,761.39/433,203.90 = 86,373.38/x
  3. Step 3: Cross multiply
    288,761.39x = 433,203.90 × 86,373.38
  4. Step 4: Simplify right side
    288,761.39x = 37,417,285,072.18
  5. Step 5: Solve for x
    x = 37,417,285,072.18/288,761.39
  6. Step 6: Final answer
    x = 129,578.56

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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.