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Finding the Fourth Proportional to 412,078.74, 619,065.48 and 290,778.39

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Solution

The fourth proportional to 412,078.74, 619,065.48 and 290,778.39 is: 436,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,078.74 : 619,065.48 = 290,778.39 : x
  2. Step 2: Convert to fraction form
    412,078.74/619,065.48 = 290,778.39/x
  3. Step 3: Cross multiply
    412,078.74x = 619,065.48 × 290,778.39
  4. Step 4: Simplify right side
    412,078.74x = 180,010,863,578.98
  5. Step 5: Solve for x
    x = 180,010,863,578.98/412,078.74
  6. Step 6: Final answer
    x = 436,836.09

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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.