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Finding the Fourth Proportional to 493,311.87, 680,756.00 and 278,471.93

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Solution

The fourth proportional to 493,311.87, 680,756.00 and 278,471.93 is: 384,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,311.87 : 680,756.00 = 278,471.93 : x
  2. Step 2: Convert to fraction form
    493,311.87/680,756.00 = 278,471.93/x
  3. Step 3: Cross multiply
    493,311.87x = 680,756.00 × 278,471.93
  4. Step 4: Simplify right side
    493,311.87x = 189,571,432,382.94
  5. Step 5: Solve for x
    x = 189,571,432,382.94/493,311.87
  6. Step 6: Final answer
    x = 384,283.14

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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.