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Finding the Fourth Proportional to 263,851.74, 395,814.60 and 86,372.82

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Solution

The fourth proportional to 263,851.74, 395,814.60 and 86,372.82 is: 129,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,851.74 : 395,814.60 = 86,372.82 : x
  2. Step 2: Convert to fraction form
    263,851.74/395,814.60 = 86,372.82/x
  3. Step 3: Cross multiply
    263,851.74x = 395,814.60 × 86,372.82
  4. Step 4: Simplify right side
    263,851.74x = 34,187,623,199.17
  5. Step 5: Solve for x
    x = 34,187,623,199.17/263,851.74
  6. Step 6: Final answer
    x = 129,571.34

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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.