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Finding the Fourth Proportional to 275,645.28, 380,191.68 and 253,056

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Solution

The fourth proportional to 275,645.28, 380,191.68 and 253,056 is: 349,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,645.28 : 380,191.68 = 253,056 : x
  2. Step 2: Convert to fraction form
    275,645.28/380,191.68 = 253,056/x
  3. Step 3: Cross multiply
    275,645.28x = 380,191.68 × 253,056
  4. Step 4: Simplify right side
    275,645.28x = 96,209,785,774.08
  5. Step 5: Solve for x
    x = 96,209,785,774.08/275,645.28
  6. Step 6: Final answer
    x = 349,034.77

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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.