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Finding the Fourth Proportional to 278,014.70, 416,699.46 and 127,939.92

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Solution

The fourth proportional to 278,014.70, 416,699.46 and 127,939.92 is: 191,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,014.70 : 416,699.46 = 127,939.92 : x
  2. Step 2: Convert to fraction form
    278,014.70/416,699.46 = 127,939.92/x
  3. Step 3: Cross multiply
    278,014.70x = 416,699.46 × 127,939.92
  4. Step 4: Simplify right side
    278,014.70x = 53,312,495,576.44
  5. Step 5: Solve for x
    x = 53,312,495,576.44/278,014.70
  6. Step 6: Final answer
    x = 191,761.43

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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.