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Finding the Fourth Proportional to 275,707.19, 380,473.00 and 154,839.80

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Solution

The fourth proportional to 275,707.19, 380,473.00 and 154,839.80 is: 213,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,707.19 : 380,473.00 = 154,839.80 : x
  2. Step 2: Convert to fraction form
    275,707.19/380,473.00 = 154,839.80/x
  3. Step 3: Cross multiply
    275,707.19x = 380,473.00 × 154,839.80
  4. Step 4: Simplify right side
    275,707.19x = 58,912,363,789.48
  5. Step 5: Solve for x
    x = 58,912,363,789.48/275,707.19
  6. Step 6: Final answer
    x = 213,677.28

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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.