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Finding the Fourth Proportional to 412,306.08, 618,065.46 and 131,641.08

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Solution

The fourth proportional to 412,306.08, 618,065.46 and 131,641.08 is: 197,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,306.08 : 618,065.46 = 131,641.08 : x
  2. Step 2: Convert to fraction form
    412,306.08/618,065.46 = 131,641.08/x
  3. Step 3: Cross multiply
    412,306.08x = 618,065.46 × 131,641.08
  4. Step 4: Simplify right side
    412,306.08x = 81,362,804,665.10
  5. Step 5: Solve for x
    x = 81,362,804,665.10/412,306.08
  6. Step 6: Final answer
    x = 197,335.93

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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.