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Finding the Fourth Proportional to 371,711.52, 512,971.92 and 201,957.12

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Solution

The fourth proportional to 371,711.52, 512,971.92 and 201,957.12 is: 278,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,711.52 : 512,971.92 = 201,957.12 : x
  2. Step 2: Convert to fraction form
    371,711.52/512,971.92 = 201,957.12/x
  3. Step 3: Cross multiply
    371,711.52x = 512,971.92 × 201,957.12
  4. Step 4: Simplify right side
    371,711.52x = 103,598,331,604.07
  5. Step 5: Solve for x
    x = 103,598,331,604.07/371,711.52
  6. Step 6: Final answer
    x = 278,706.27

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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.