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Finding the Fourth Proportional to 263,744.76, 395,666.45 and 86,261.41

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Solution

The fourth proportional to 263,744.76, 395,666.45 and 86,261.41 is: 129,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,744.76 : 395,666.45 = 86,261.41 : x
  2. Step 2: Convert to fraction form
    263,744.76/395,666.45 = 86,261.41/x
  3. Step 3: Cross multiply
    263,744.76x = 395,666.45 × 86,261.41
  4. Step 4: Simplify right side
    263,744.76x = 34,130,745,866.69
  5. Step 5: Solve for x
    x = 34,130,745,866.69/263,744.76
  6. Step 6: Final answer
    x = 129,408.24

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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.