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Finding the Fourth Proportional to 277,814, 416,791.56 and 80,822

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Solution

The fourth proportional to 277,814, 416,791.56 and 80,822 is: 121,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,814 : 416,791.56 = 80,822 : x
  2. Step 2: Convert to fraction form
    277,814/416,791.56 = 80,822/x
  3. Step 3: Cross multiply
    277,814x = 416,791.56 × 80,822
  4. Step 4: Simplify right side
    277,814x = 33,685,927,462.32
  5. Step 5: Solve for x
    x = 33,685,927,462.32/277,814
  6. Step 6: Final answer
    x = 121,253.53

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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.