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Finding the Fourth Proportional to 392,712.81, 589,052.76 and 126,467.43

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Solution

The fourth proportional to 392,712.81, 589,052.76 and 126,467.43 is: 189,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,712.81 : 589,052.76 = 126,467.43 : x
  2. Step 2: Convert to fraction form
    392,712.81/589,052.76 = 126,467.43/x
  3. Step 3: Cross multiply
    392,712.81x = 589,052.76 × 126,467.43
  4. Step 4: Simplify right side
    392,712.81x = 74,495,986,008.41
  5. Step 5: Solve for x
    x = 74,495,986,008.41/392,712.81
  6. Step 6: Final answer
    x = 189,695.84

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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.