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Finding the Fourth Proportional to 278,254.52, 417,406.80 and 78,576.92

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Solution

The fourth proportional to 278,254.52, 417,406.80 and 78,576.92 is: 117,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,254.52 : 417,406.80 = 78,576.92 : x
  2. Step 2: Convert to fraction form
    278,254.52/417,406.80 = 78,576.92/x
  3. Step 3: Cross multiply
    278,254.52x = 417,406.80 × 78,576.92
  4. Step 4: Simplify right side
    278,254.52x = 32,798,540,731.06
  5. Step 5: Solve for x
    x = 32,798,540,731.06/278,254.52
  6. Step 6: Final answer
    x = 117,872.45

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1.5x scale

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.