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Finding the Fourth Proportional to 278,205.74, 417,339.30 and 88,622

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Solution

The fourth proportional to 278,205.74, 417,339.30 and 88,622 is: 132,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,205.74 : 417,339.30 = 88,622 : x
  2. Step 2: Convert to fraction form
    278,205.74/417,339.30 = 88,622/x
  3. Step 3: Cross multiply
    278,205.74x = 417,339.30 × 88,622
  4. Step 4: Simplify right side
    278,205.74x = 36,985,443,444.60
  5. Step 5: Solve for x
    x = 36,985,443,444.60/278,205.74
  6. Step 6: Final answer
    x = 132,942.78

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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.