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Finding the Fourth Proportional to 412,065.36, 616,990.64 and 261,490.41

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Solution

The fourth proportional to 412,065.36, 616,990.64 and 261,490.41 is: 391,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,065.36 : 616,990.64 = 261,490.41 : x
  2. Step 2: Convert to fraction form
    412,065.36/616,990.64 = 261,490.41/x
  3. Step 3: Cross multiply
    412,065.36x = 616,990.64 × 261,490.41
  4. Step 4: Simplify right side
    412,065.36x = 161,337,134,112.31
  5. Step 5: Solve for x
    x = 161,337,134,112.31/412,065.36
  6. Step 6: Final answer
    x = 391,532.87

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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.