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Finding the Fourth Proportional to 381,675.70, 572,513.55 and 132,357.70

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Solution

The fourth proportional to 381,675.70, 572,513.55 and 132,357.70 is: 198,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,675.70 : 572,513.55 = 132,357.70 : x
  2. Step 2: Convert to fraction form
    381,675.70/572,513.55 = 132,357.70/x
  3. Step 3: Cross multiply
    381,675.70x = 572,513.55 × 132,357.70
  4. Step 4: Simplify right side
    381,675.70x = 75,776,576,696.84
  5. Step 5: Solve for x
    x = 75,776,576,696.84/381,675.70
  6. Step 6: Final answer
    x = 198,536.55

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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.