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Finding the Fourth Proportional to 493,318.86, 680,810.67 and 278,380.50

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Solution

The fourth proportional to 493,318.86, 680,810.67 and 278,380.50 is: 384,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,318.86 : 680,810.67 = 278,380.50 : x
  2. Step 2: Convert to fraction form
    493,318.86/680,810.67 = 278,380.50/x
  3. Step 3: Cross multiply
    493,318.86x = 680,810.67 × 278,380.50
  4. Step 4: Simplify right side
    493,318.86x = 189,524,414,719.94
  5. Step 5: Solve for x
    x = 189,524,414,719.94/493,318.86
  6. Step 6: Final answer
    x = 384,182.38

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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.