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Finding the Fourth Proportional to 381,894.82, 527,031.53 and 212,128.94

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Solution

The fourth proportional to 381,894.82, 527,031.53 and 212,128.94 is: 292,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,894.82 : 527,031.53 = 212,128.94 : x
  2. Step 2: Convert to fraction form
    381,894.82/527,031.53 = 212,128.94/x
  3. Step 3: Cross multiply
    381,894.82x = 527,031.53 × 212,128.94
  4. Step 4: Simplify right side
    381,894.82x = 111,798,640,857.90
  5. Step 5: Solve for x
    x = 111,798,640,857.90/381,894.82
  6. Step 6: Final answer
    x = 292,747.21

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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.