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Finding the Fourth Proportional to 420,908.38, 631,198.78 and 136,530.16

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Solution

The fourth proportional to 420,908.38, 631,198.78 and 136,530.16 is: 204,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,908.38 : 631,198.78 = 136,530.16 : x
  2. Step 2: Convert to fraction form
    420,908.38/631,198.78 = 136,530.16/x
  3. Step 3: Cross multiply
    420,908.38x = 631,198.78 × 136,530.16
  4. Step 4: Simplify right side
    420,908.38x = 86,177,670,425.20
  5. Step 5: Solve for x
    x = 86,177,670,425.20/420,908.38
  6. Step 6: Final answer
    x = 204,742.11

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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.