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Finding the Fourth Proportional to 412,163.84, 618,246.24 and 131,702.72

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Solution

The fourth proportional to 412,163.84, 618,246.24 and 131,702.72 is: 197,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,163.84 : 618,246.24 = 131,702.72 : x
  2. Step 2: Convert to fraction form
    412,163.84/618,246.24 = 131,702.72/x
  3. Step 3: Cross multiply
    412,163.84x = 618,246.24 × 131,702.72
  4. Step 4: Simplify right side
    412,163.84x = 81,424,711,437.77
  5. Step 5: Solve for x
    x = 81,424,711,437.77/412,163.84
  6. Step 6: Final answer
    x = 197,554.23

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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.