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Finding the Fourth Proportional to 275,583.72, 380,302.20 and 154,722

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Solution

The fourth proportional to 275,583.72, 380,302.20 and 154,722 is: 213,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,583.72 : 380,302.20 = 154,722 : x
  2. Step 2: Convert to fraction form
    275,583.72/380,302.20 = 154,722/x
  3. Step 3: Cross multiply
    275,583.72x = 380,302.20 × 154,722
  4. Step 4: Simplify right side
    275,583.72x = 58,841,116,988.40
  5. Step 5: Solve for x
    x = 58,841,116,988.40/275,583.72
  6. Step 6: Final answer
    x = 213,514.49

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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.