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Finding the Fourth Proportional to 408,821.32, 613,234.77 and 156,033.64

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Solution

The fourth proportional to 408,821.32, 613,234.77 and 156,033.64 is: 234,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,821.32 : 613,234.77 = 156,033.64 : x
  2. Step 2: Convert to fraction form
    408,821.32/613,234.77 = 156,033.64/x
  3. Step 3: Cross multiply
    408,821.32x = 613,234.77 × 156,033.64
  4. Step 4: Simplify right side
    408,821.32x = 95,685,253,337.66
  5. Step 5: Solve for x
    x = 95,685,253,337.66/408,821.32
  6. Step 6: Final answer
    x = 234,051.52

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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.