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Finding the Fourth Proportional to 382,546.56, 527,933.76 and 212,784

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Solution

The fourth proportional to 382,546.56, 527,933.76 and 212,784 is: 293,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,546.56 : 527,933.76 = 212,784 : x
  2. Step 2: Convert to fraction form
    382,546.56/527,933.76 = 212,784/x
  3. Step 3: Cross multiply
    382,546.56x = 527,933.76 × 212,784
  4. Step 4: Simplify right side
    382,546.56x = 112,335,857,187.84
  5. Step 5: Solve for x
    x = 112,335,857,187.84/382,546.56
  6. Step 6: Final answer
    x = 293,652.77

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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.