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Finding the Fourth Proportional to 263,419.68, 395,218.23 and 83,534.49

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Solution

The fourth proportional to 263,419.68, 395,218.23 and 83,534.49 is: 125,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,419.68 : 395,218.23 = 83,534.49 : x
  2. Step 2: Convert to fraction form
    263,419.68/395,218.23 = 83,534.49/x
  3. Step 3: Cross multiply
    263,419.68x = 395,218.23 × 83,534.49
  4. Step 4: Simplify right side
    263,419.68x = 33,014,353,281.75
  5. Step 5: Solve for x
    x = 33,014,353,281.75/263,419.68
  6. Step 6: Final answer
    x = 125,329.87

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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.