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Finding the Fourth Proportional to 371,512.68, 512,682.96 and 201,748

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Solution

The fourth proportional to 371,512.68, 512,682.96 and 201,748 is: 278,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,512.68 : 512,682.96 = 201,748 : x
  2. Step 2: Convert to fraction form
    371,512.68/512,682.96 = 201,748/x
  3. Step 3: Cross multiply
    371,512.68x = 512,682.96 × 201,748
  4. Step 4: Simplify right side
    371,512.68x = 103,432,761,814.08
  5. Step 5: Solve for x
    x = 103,432,761,814.08/371,512.68
  6. Step 6: Final answer
    x = 278,409.78

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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.