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Finding the Fourth Proportional to 394,262.80, 591,443.43 and 154,345.72

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Solution

The fourth proportional to 394,262.80, 591,443.43 and 154,345.72 is: 231,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,262.80 : 591,443.43 = 154,345.72 : x
  2. Step 2: Convert to fraction form
    394,262.80/591,443.43 = 154,345.72/x
  3. Step 3: Cross multiply
    394,262.80x = 591,443.43 × 154,345.72
  4. Step 4: Simplify right side
    394,262.80x = 91,286,762,042.62
  5. Step 5: Solve for x
    x = 91,286,762,042.62/394,262.80
  6. Step 6: Final answer
    x = 231,537.85

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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.