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Finding the Fourth Proportional to 261,818.56, 392,716.84 and 84,321.60

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Solution

The fourth proportional to 261,818.56, 392,716.84 and 84,321.60 is: 126,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,818.56 : 392,716.84 = 84,321.60 : x
  2. Step 2: Convert to fraction form
    261,818.56/392,716.84 = 84,321.60/x
  3. Step 3: Cross multiply
    261,818.56x = 392,716.84 × 84,321.60
  4. Step 4: Simplify right side
    261,818.56x = 33,114,512,295.74
  5. Step 5: Solve for x
    x = 33,114,512,295.74/261,818.56
  6. Step 6: Final answer
    x = 126,478.86

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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.