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Finding the Fourth Proportional to 392,678.76, 588,473.19 and 178,924.28

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Solution

The fourth proportional to 392,678.76, 588,473.19 and 178,924.28 is: 268,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,678.76 : 588,473.19 = 178,924.28 : x
  2. Step 2: Convert to fraction form
    392,678.76/588,473.19 = 178,924.28/x
  3. Step 3: Cross multiply
    392,678.76x = 588,473.19 × 178,924.28
  4. Step 4: Simplify right side
    392,678.76x = 105,292,138,877.69
  5. Step 5: Solve for x
    x = 105,292,138,877.69/392,678.76
  6. Step 6: Final answer
    x = 268,138.11

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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.