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Finding the Fourth Proportional to 412,638.64, 618,753.84 and 146,359.24

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Solution

The fourth proportional to 412,638.64, 618,753.84 and 146,359.24 is: 219,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,638.64 : 618,753.84 = 146,359.24 : x
  2. Step 2: Convert to fraction form
    412,638.64/618,753.84 = 146,359.24/x
  3. Step 3: Cross multiply
    412,638.64x = 618,753.84 × 146,359.24
  4. Step 4: Simplify right side
    412,638.64x = 90,560,341,769.48
  5. Step 5: Solve for x
    x = 90,560,341,769.48/412,638.64
  6. Step 6: Final answer
    x = 219,466.46

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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.