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Finding the Fourth Proportional to 412,997.69, 619,365.26 and 280,727.93

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Solution

The fourth proportional to 412,997.69, 619,365.26 and 280,727.93 is: 421,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,997.69 : 619,365.26 = 280,727.93 : x
  2. Step 2: Convert to fraction form
    412,997.69/619,365.26 = 280,727.93/x
  3. Step 3: Cross multiply
    412,997.69x = 619,365.26 × 280,727.93
  4. Step 4: Simplify right side
    412,997.69x = 173,873,122,853.25
  5. Step 5: Solve for x
    x = 173,873,122,853.25/412,997.69
  6. Step 6: Final answer
    x = 421,002.66

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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.