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Finding the Fourth Proportional to 492,936.60, 680,251.05 and 278,076

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Solution

The fourth proportional to 492,936.60, 680,251.05 and 278,076 is: 383,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,936.60 : 680,251.05 = 278,076 : x
  2. Step 2: Convert to fraction form
    492,936.60/680,251.05 = 278,076/x
  3. Step 3: Cross multiply
    492,936.60x = 680,251.05 × 278,076
  4. Step 4: Simplify right side
    492,936.60x = 189,161,490,979.80
  5. Step 5: Solve for x
    x = 189,161,490,979.80/492,936.60
  6. Step 6: Final answer
    x = 383,744.06

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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.