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Finding the Fourth Proportional to 412,377.44, 618,664.56 and 146,161.20

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Solution

The fourth proportional to 412,377.44, 618,664.56 and 146,161.20 is: 219,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,377.44 : 618,664.56 = 146,161.20 : x
  2. Step 2: Convert to fraction form
    412,377.44/618,664.56 = 146,161.20/x
  3. Step 3: Cross multiply
    412,377.44x = 618,664.56 × 146,161.20
  4. Step 4: Simplify right side
    412,377.44x = 90,424,754,487.07
  5. Step 5: Solve for x
    x = 90,424,754,487.07/412,377.44
  6. Step 6: Final answer
    x = 219,276.68

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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.