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Finding the Fourth Proportional to 493,876.13, 681,535.11 and 289,923.80

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Solution

The fourth proportional to 493,876.13, 681,535.11 and 289,923.80 is: 400,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,876.13 : 681,535.11 = 289,923.80 : x
  2. Step 2: Convert to fraction form
    493,876.13/681,535.11 = 289,923.80/x
  3. Step 3: Cross multiply
    493,876.13x = 681,535.11 × 289,923.80
  4. Step 4: Simplify right side
    493,876.13x = 197,593,247,475.00
  5. Step 5: Solve for x
    x = 197,593,247,475.00/493,876.13
  6. Step 6: Final answer
    x = 400,086.65

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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.