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Finding the Fourth Proportional to 381,895.52, 527,038.52 and 212,128.44

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Solution

The fourth proportional to 381,895.52, 527,038.52 and 212,128.44 is: 292,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,895.52 : 527,038.52 = 212,128.44 : x
  2. Step 2: Convert to fraction form
    381,895.52/527,038.52 = 212,128.44/x
  3. Step 3: Cross multiply
    381,895.52x = 527,038.52 × 212,128.44
  4. Step 4: Simplify right side
    381,895.52x = 111,799,859,067.51
  5. Step 5: Solve for x
    x = 111,799,859,067.51/381,895.52
  6. Step 6: Final answer
    x = 292,749.86

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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.