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Finding the Fourth Proportional to 323,474.96, 485,195.84 and 123,780

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Solution

The fourth proportional to 323,474.96, 485,195.84 and 123,780 is: 185,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,474.96 : 485,195.84 = 123,780 : x
  2. Step 2: Convert to fraction form
    323,474.96/485,195.84 = 123,780/x
  3. Step 3: Cross multiply
    323,474.96x = 485,195.84 × 123,780
  4. Step 4: Simplify right side
    323,474.96x = 60,057,541,075.20
  5. Step 5: Solve for x
    x = 60,057,541,075.20/323,474.96
  6. Step 6: Final answer
    x = 185,663.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.