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Finding the Fourth Proportional to 412,657.89, 618,782.64 and 146,378.49

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Solution

The fourth proportional to 412,657.89, 618,782.64 and 146,378.49 is: 219,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,657.89 : 618,782.64 = 146,378.49 : x
  2. Step 2: Convert to fraction form
    412,657.89/618,782.64 = 146,378.49/x
  3. Step 3: Cross multiply
    412,657.89x = 618,782.64 × 146,378.49
  4. Step 4: Simplify right side
    412,657.89x = 90,576,468,481.41
  5. Step 5: Solve for x
    x = 90,576,468,481.41/412,657.89
  6. Step 6: Final answer
    x = 219,495.30

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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.