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Finding the Fourth Proportional to 200,605.32, 300,642.30 and 167,391

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Solution

The fourth proportional to 200,605.32, 300,642.30 and 167,391 is: 250,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,605.32 : 300,642.30 = 167,391 : x
  2. Step 2: Convert to fraction form
    200,605.32/300,642.30 = 167,391/x
  3. Step 3: Cross multiply
    200,605.32x = 300,642.30 × 167,391
  4. Step 4: Simplify right side
    200,605.32x = 50,324,815,239.30
  5. Step 5: Solve for x
    x = 50,324,815,239.30/200,605.32
  6. Step 6: Final answer
    x = 250,864.81

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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.