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Finding the Fourth Proportional to 408,487.86, 613,305.88 and 208,951.45

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Solution

The fourth proportional to 408,487.86, 613,305.88 and 208,951.45 is: 313,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,487.86 : 613,305.88 = 208,951.45 : x
  2. Step 2: Convert to fraction form
    408,487.86/613,305.88 = 208,951.45/x
  3. Step 3: Cross multiply
    408,487.86x = 613,305.88 × 208,951.45
  4. Step 4: Simplify right side
    408,487.86x = 128,151,150,863.88
  5. Step 5: Solve for x
    x = 128,151,150,863.88/408,487.86
  6. Step 6: Final answer
    x = 313,720.83

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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.