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Finding the Fourth Proportional to 278,576.01, 417,953.69 and 126,827.37

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Solution

The fourth proportional to 278,576.01, 417,953.69 and 126,827.37 is: 190,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,576.01 : 417,953.69 = 126,827.37 : x
  2. Step 2: Convert to fraction form
    278,576.01/417,953.69 = 126,827.37/x
  3. Step 3: Cross multiply
    278,576.01x = 417,953.69 × 126,827.37
  4. Step 4: Simplify right side
    278,576.01x = 53,007,967,125.96
  5. Step 5: Solve for x
    x = 53,007,967,125.96/278,576.01
  6. Step 6: Final answer
    x = 190,281.88

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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.