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Finding the Fourth Proportional to 412,910.40, 619,053.85 and 270,791.47

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Solution

The fourth proportional to 412,910.40, 619,053.85 and 270,791.47 is: 405,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,910.40 : 619,053.85 = 270,791.47 : x
  2. Step 2: Convert to fraction form
    412,910.40/619,053.85 = 270,791.47/x
  3. Step 3: Cross multiply
    412,910.40x = 619,053.85 × 270,791.47
  4. Step 4: Simplify right side
    412,910.40x = 167,634,502,050.66
  5. Step 5: Solve for x
    x = 167,634,502,050.66/412,910.40
  6. Step 6: Final answer
    x = 405,982.76

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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.