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Finding the Fourth Proportional to 278,497.85, 417,027.32 and 192,209.98

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Solution

The fourth proportional to 278,497.85, 417,027.32 and 192,209.98 is: 287,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,497.85 : 417,027.32 = 192,209.98 : x
  2. Step 2: Convert to fraction form
    278,497.85/417,027.32 = 192,209.98/x
  3. Step 3: Cross multiply
    278,497.85x = 417,027.32 × 192,209.98
  4. Step 4: Simplify right side
    278,497.85x = 80,156,812,606.04
  5. Step 5: Solve for x
    x = 80,156,812,606.04/278,497.85
  6. Step 6: Final answer
    x = 287,818.42

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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.