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Finding the Fourth Proportional to 263,291.16, 394,977.70 and 85,756.84

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Solution

The fourth proportional to 263,291.16, 394,977.70 and 85,756.84 is: 128,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,291.16 : 394,977.70 = 85,756.84 : x
  2. Step 2: Convert to fraction form
    263,291.16/394,977.70 = 85,756.84/x
  3. Step 3: Cross multiply
    263,291.16x = 394,977.70 × 85,756.84
  4. Step 4: Simplify right side
    263,291.16x = 33,872,039,422.47
  5. Step 5: Solve for x
    x = 33,872,039,422.47/263,291.16
  6. Step 6: Final answer
    x = 128,648.60

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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.