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Finding the Fourth Proportional to 412,876.79, 619,314 and 113,357.65

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Solution

The fourth proportional to 412,876.79, 619,314 and 113,357.65 is: 170,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,876.79 : 619,314 = 113,357.65 : x
  2. Step 2: Convert to fraction form
    412,876.79/619,314 = 113,357.65/x
  3. Step 3: Cross multiply
    412,876.79x = 619,314 × 113,357.65
  4. Step 4: Simplify right side
    412,876.79x = 70,203,979,652.10
  5. Step 5: Solve for x
    x = 70,203,979,652.10/412,876.79
  6. Step 6: Final answer
    x = 170,036.15

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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.