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Finding the Fourth Proportional to 412,273.78, 618,401.84 and 112,754.35

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Solution

The fourth proportional to 412,273.78, 618,401.84 and 112,754.35 is: 169,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,273.78 : 618,401.84 = 112,754.35 : x
  2. Step 2: Convert to fraction form
    412,273.78/618,401.84 = 112,754.35/x
  3. Step 3: Cross multiply
    412,273.78x = 618,401.84 × 112,754.35
  4. Step 4: Simplify right side
    412,273.78x = 69,727,497,508.00
  5. Step 5: Solve for x
    x = 69,727,497,508.00/412,273.78
  6. Step 6: Final answer
    x = 169,129.11

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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.