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Finding the Fourth Proportional to 275,570.43, 380,257.79 and 154,725

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Solution

The fourth proportional to 275,570.43, 380,257.79 and 154,725 is: 213,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,570.43 : 380,257.79 = 154,725 : x
  2. Step 2: Convert to fraction form
    275,570.43/380,257.79 = 154,725/x
  3. Step 3: Cross multiply
    275,570.43x = 380,257.79 × 154,725
  4. Step 4: Simplify right side
    275,570.43x = 58,835,385,784.13
  5. Step 5: Solve for x
    x = 58,835,385,784.13/275,570.43
  6. Step 6: Final answer
    x = 213,503.99

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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.