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Finding the Fourth Proportional to 382,301, 527,576 and 212,535.12

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Solution

The fourth proportional to 382,301, 527,576 and 212,535.12 is: 293,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,301 : 527,576 = 212,535.12 : x
  2. Step 2: Convert to fraction form
    382,301/527,576 = 212,535.12/x
  3. Step 3: Cross multiply
    382,301x = 527,576 × 212,535.12
  4. Step 4: Simplify right side
    382,301x = 112,128,428,469.12
  5. Step 5: Solve for x
    x = 112,128,428,469.12/382,301
  6. Step 6: Final answer
    x = 293,298.81

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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.