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Finding the Fourth Proportional to 493,329.78, 680,797.17 and 278,472.42

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Solution

The fourth proportional to 493,329.78, 680,797.17 and 278,472.42 is: 384,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,329.78 : 680,797.17 = 278,472.42 : x
  2. Step 2: Convert to fraction form
    493,329.78/680,797.17 = 278,472.42/x
  3. Step 3: Cross multiply
    493,329.78x = 680,797.17 × 278,472.42
  4. Step 4: Simplify right side
    493,329.78x = 189,583,235,459.05
  5. Step 5: Solve for x
    x = 189,583,235,459.05/493,329.78
  6. Step 6: Final answer
    x = 384,293.11

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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.