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Finding the Fourth Proportional to 392,684.14, 541,889.89 and 239,977.81

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Solution

The fourth proportional to 392,684.14, 541,889.89 and 239,977.81 is: 331,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,684.14 : 541,889.89 = 239,977.81 : x
  2. Step 2: Convert to fraction form
    392,684.14/541,889.89 = 239,977.81/x
  3. Step 3: Cross multiply
    392,684.14x = 541,889.89 × 239,977.81
  4. Step 4: Simplify right side
    392,684.14x = 130,041,549,063.34
  5. Step 5: Solve for x
    x = 130,041,549,063.34/392,684.14
  6. Step 6: Final answer
    x = 331,160.69

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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.