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Finding the Fourth Proportional to 313,285.46, 469,542.90 and 123,555.38

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Solution

The fourth proportional to 313,285.46, 469,542.90 and 123,555.38 is: 185,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,285.46 : 469,542.90 = 123,555.38 : x
  2. Step 2: Convert to fraction form
    313,285.46/469,542.90 = 123,555.38/x
  3. Step 3: Cross multiply
    313,285.46x = 469,542.90 × 123,555.38
  4. Step 4: Simplify right side
    313,285.46x = 58,014,551,435.80
  5. Step 5: Solve for x
    x = 58,014,551,435.80/313,285.46
  6. Step 6: Final answer
    x = 185,181.12

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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.