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Finding the Fourth Proportional to 238,484.65, 328,942.20 and 202,425.88

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Solution

The fourth proportional to 238,484.65, 328,942.20 and 202,425.88 is: 279,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,484.65 : 328,942.20 = 202,425.88 : x
  2. Step 2: Convert to fraction form
    238,484.65/328,942.20 = 202,425.88/x
  3. Step 3: Cross multiply
    238,484.65x = 328,942.20 × 202,425.88
  4. Step 4: Simplify right side
    238,484.65x = 66,586,414,304.14
  5. Step 5: Solve for x
    x = 66,586,414,304.14/238,484.65
  6. Step 6: Final answer
    x = 279,206.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.