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Finding the Fourth Proportional to 394,423.70, 591,432.95 and 181,007.91

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Solution

The fourth proportional to 394,423.70, 591,432.95 and 181,007.91 is: 271,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,423.70 : 591,432.95 = 181,007.91 : x
  2. Step 2: Convert to fraction form
    394,423.70/591,432.95 = 181,007.91/x
  3. Step 3: Cross multiply
    394,423.70x = 591,432.95 × 181,007.91
  4. Step 4: Simplify right side
    394,423.70x = 107,054,042,637.15
  5. Step 5: Solve for x
    x = 107,054,042,637.15/394,423.70
  6. Step 6: Final answer
    x = 271,418.89

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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.