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Finding the Fourth Proportional to 275,649.28, 380,197.20 and 253,060

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Solution

The fourth proportional to 275,649.28, 380,197.20 and 253,060 is: 349,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,649.28 : 380,197.20 = 253,060 : x
  2. Step 2: Convert to fraction form
    275,649.28/380,197.20 = 253,060/x
  3. Step 3: Cross multiply
    275,649.28x = 380,197.20 × 253,060
  4. Step 4: Simplify right side
    275,649.28x = 96,212,703,432
  5. Step 5: Solve for x
    x = 96,212,703,432/275,649.28
  6. Step 6: Final answer
    x = 349,040.29

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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.