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Finding the Fourth Proportional to 256,169.36, 383,466.66 and 218,378

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Solution

The fourth proportional to 256,169.36, 383,466.66 and 218,378 is: 326,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,169.36 : 383,466.66 = 218,378 : x
  2. Step 2: Convert to fraction form
    256,169.36/383,466.66 = 218,378/x
  3. Step 3: Cross multiply
    256,169.36x = 383,466.66 × 218,378
  4. Step 4: Simplify right side
    256,169.36x = 83,740,682,277.48
  5. Step 5: Solve for x
    x = 83,740,682,277.48/256,169.36
  6. Step 6: Final answer
    x = 326,895.78

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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.