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Finding the Fourth Proportional to 371,390.92, 512,525.64 and 201,625

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Solution

The fourth proportional to 371,390.92, 512,525.64 and 201,625 is: 278,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,390.92 : 512,525.64 = 201,625 : x
  2. Step 2: Convert to fraction form
    371,390.92/512,525.64 = 201,625/x
  3. Step 3: Cross multiply
    371,390.92x = 512,525.64 × 201,625
  4. Step 4: Simplify right side
    371,390.92x = 103,337,982,165
  5. Step 5: Solve for x
    x = 103,337,982,165/371,390.92
  6. Step 6: Final answer
    x = 278,245.85

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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.