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Finding the Fourth Proportional to 278,234, 383,962.92 and 159,002

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Solution

The fourth proportional to 278,234, 383,962.92 and 159,002 is: 219,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,234 : 383,962.92 = 159,002 : x
  2. Step 2: Convert to fraction form
    278,234/383,962.92 = 159,002/x
  3. Step 3: Cross multiply
    278,234x = 383,962.92 × 159,002
  4. Step 4: Simplify right side
    278,234x = 61,050,872,205.84
  5. Step 5: Solve for x
    x = 61,050,872,205.84/278,234
  6. Step 6: Final answer
    x = 219,422.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.