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Finding the Fourth Proportional to 275,564.56, 380,283.24 and 266,029.20

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Solution

The fourth proportional to 275,564.56, 380,283.24 and 266,029.20 is: 367,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,564.56 : 380,283.24 = 266,029.20 : x
  2. Step 2: Convert to fraction form
    275,564.56/380,283.24 = 266,029.20/x
  3. Step 3: Cross multiply
    275,564.56x = 380,283.24 × 266,029.20
  4. Step 4: Simplify right side
    275,564.56x = 101,166,446,110.61
  5. Step 5: Solve for x
    x = 101,166,446,110.61/275,564.56
  6. Step 6: Final answer
    x = 367,124.30

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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.