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Finding the Fourth Proportional to 275,577.70, 380,293.92 and 154,715.98

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Solution

The fourth proportional to 275,577.70, 380,293.92 and 154,715.98 is: 213,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,577.70 : 380,293.92 = 154,715.98 : x
  2. Step 2: Convert to fraction form
    275,577.70/380,293.92 = 154,715.98/x
  3. Step 3: Cross multiply
    275,577.70x = 380,293.92 × 154,715.98
  4. Step 4: Simplify right side
    275,577.70x = 58,837,546,520.84
  5. Step 5: Solve for x
    x = 58,837,546,520.84/275,577.70
  6. Step 6: Final answer
    x = 213,506.20

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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.