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Finding the Fourth Proportional to 492,952.62, 680,281.23 and 278,092.02

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Solution

The fourth proportional to 492,952.62, 680,281.23 and 278,092.02 is: 383,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,952.62 : 680,281.23 = 278,092.02 : x
  2. Step 2: Convert to fraction form
    492,952.62/680,281.23 = 278,092.02/x
  3. Step 3: Cross multiply
    492,952.62x = 680,281.23 × 278,092.02
  4. Step 4: Simplify right side
    492,952.62x = 189,180,781,418.79
  5. Step 5: Solve for x
    x = 189,180,781,418.79/492,952.62
  6. Step 6: Final answer
    x = 383,770.72

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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.