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Finding the Fourth Proportional to 412,510.44, 618,676.56 and 146,279.64

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Solution

The fourth proportional to 412,510.44, 618,676.56 and 146,279.64 is: 219,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,510.44 : 618,676.56 = 146,279.64 : x
  2. Step 2: Convert to fraction form
    412,510.44/618,676.56 = 146,279.64/x
  3. Step 3: Cross multiply
    412,510.44x = 618,676.56 × 146,279.64
  4. Step 4: Simplify right side
    412,510.44x = 90,499,784,473.24
  5. Step 5: Solve for x
    x = 90,499,784,473.24/412,510.44
  6. Step 6: Final answer
    x = 219,387.86

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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.