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Finding the Fourth Proportional to 382,392.96, 527,704.32 and 212,628.48

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Solution

The fourth proportional to 382,392.96, 527,704.32 and 212,628.48 is: 293,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,392.96 : 527,704.32 = 212,628.48 : x
  2. Step 2: Convert to fraction form
    382,392.96/527,704.32 = 212,628.48/x
  3. Step 3: Cross multiply
    382,392.96x = 527,704.32 × 212,628.48
  4. Step 4: Simplify right side
    382,392.96x = 112,204,967,451.03
  5. Step 5: Solve for x
    x = 112,204,967,451.03/382,392.96
  6. Step 6: Final answer
    x = 293,428.43

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1.5x scale

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.