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Finding the Fourth Proportional to 256,166.36, 383,462.16 and 218,375

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Solution

The fourth proportional to 256,166.36, 383,462.16 and 218,375 is: 326,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166.36 : 383,462.16 = 218,375 : x
  2. Step 2: Convert to fraction form
    256,166.36/383,462.16 = 218,375/x
  3. Step 3: Cross multiply
    256,166.36x = 383,462.16 × 218,375
  4. Step 4: Simplify right side
    256,166.36x = 83,738,549,190
  5. Step 5: Solve for x
    x = 83,738,549,190/256,166.36
  6. Step 6: Final answer
    x = 326,891.28

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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.