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Finding the Fourth Proportional to 382,073.12, 527,250.44 and 212,302.88

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Solution

The fourth proportional to 382,073.12, 527,250.44 and 212,302.88 is: 292,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,073.12 : 527,250.44 = 212,302.88 : x
  2. Step 2: Convert to fraction form
    382,073.12/527,250.44 = 212,302.88/x
  3. Step 3: Cross multiply
    382,073.12x = 527,250.44 × 212,302.88
  4. Step 4: Simplify right side
    382,073.12x = 111,936,786,893.27
  5. Step 5: Solve for x
    x = 111,936,786,893.27/382,073.12
  6. Step 6: Final answer
    x = 292,972.16

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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.