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Finding the Fourth Proportional to 392,678.14, 541,881.61 and 239,971.81

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Solution

The fourth proportional to 392,678.14, 541,881.61 and 239,971.81 is: 331,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,678.14 : 541,881.61 = 239,971.81 : x
  2. Step 2: Convert to fraction form
    392,678.14/541,881.61 = 239,971.81/x
  3. Step 3: Cross multiply
    392,678.14x = 541,881.61 × 239,971.81
  4. Step 4: Simplify right side
    392,678.14x = 130,036,310,757.41
  5. Step 5: Solve for x
    x = 130,036,310,757.41/392,678.14
  6. Step 6: Final answer
    x = 331,152.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.