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Finding the Fourth Proportional to 281,079.38, 420,936.51 and 154,526.42

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Solution

The fourth proportional to 281,079.38, 420,936.51 and 154,526.42 is: 231,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,079.38 : 420,936.51 = 154,526.42 : x
  2. Step 2: Convert to fraction form
    281,079.38/420,936.51 = 154,526.42/x
  3. Step 3: Cross multiply
    281,079.38x = 420,936.51 × 154,526.42
  4. Step 4: Simplify right side
    281,079.38x = 65,045,811,937.59
  5. Step 5: Solve for x
    x = 65,045,811,937.59/281,079.38
  6. Step 6: Final answer
    x = 231,414.39

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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.