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Finding the Fourth Proportional to 400,131.70, 600,198.15 and 163,474.61

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Solution

The fourth proportional to 400,131.70, 600,198.15 and 163,474.61 is: 245,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,131.70 : 600,198.15 = 163,474.61 : x
  2. Step 2: Convert to fraction form
    400,131.70/600,198.15 = 163,474.61/x
  3. Step 3: Cross multiply
    400,131.70x = 600,198.15 × 163,474.61
  4. Step 4: Simplify right side
    400,131.70x = 98,117,156,106.01
  5. Step 5: Solve for x
    x = 98,117,156,106.01/400,131.70
  6. Step 6: Final answer
    x = 245,212.16

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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.