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Finding the Fourth Proportional to 490,400.92, 735,078.66 and 279,584.92

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Solution

The fourth proportional to 490,400.92, 735,078.66 and 279,584.92 is: 419,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,400.92 : 735,078.66 = 279,584.92 : x
  2. Step 2: Convert to fraction form
    490,400.92/735,078.66 = 279,584.92/x
  3. Step 3: Cross multiply
    490,400.92x = 735,078.66 × 279,584.92
  4. Step 4: Simplify right side
    490,400.92x = 205,516,908,349.81
  5. Step 5: Solve for x
    x = 205,516,908,349.81/490,400.92
  6. Step 6: Final answer
    x = 419,079.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.