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Finding the Fourth Proportional to 394,781.45, 592,221.38 and 128,470.46

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Solution

The fourth proportional to 394,781.45, 592,221.38 and 128,470.46 is: 192,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,781.45 : 592,221.38 = 128,470.46 : x
  2. Step 2: Convert to fraction form
    394,781.45/592,221.38 = 128,470.46/x
  3. Step 3: Cross multiply
    394,781.45x = 592,221.38 × 128,470.46
  4. Step 4: Simplify right side
    394,781.45x = 76,082,949,506.98
  5. Step 5: Solve for x
    x = 76,082,949,506.98/394,781.45
  6. Step 6: Final answer
    x = 192,721.70

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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.