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Finding the Fourth Proportional to 382,102.56, 527,314.32 and 212,343.84

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Solution

The fourth proportional to 382,102.56, 527,314.32 and 212,343.84 is: 293,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,102.56 : 527,314.32 = 212,343.84 : x
  2. Step 2: Convert to fraction form
    382,102.56/527,314.32 = 212,343.84/x
  3. Step 3: Cross multiply
    382,102.56x = 527,314.32 × 212,343.84
  4. Step 4: Simplify right side
    382,102.56x = 111,971,947,595.79
  5. Step 5: Solve for x
    x = 111,971,947,595.79/382,102.56
  6. Step 6: Final answer
    x = 293,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.