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Finding the Fourth Proportional to 381,686.48, 526,717.32 and 211,916.24

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Solution

The fourth proportional to 381,686.48, 526,717.32 and 211,916.24 is: 292,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.48 : 526,717.32 = 211,916.24 : x
  2. Step 2: Convert to fraction form
    381,686.48/526,717.32 = 211,916.24/x
  3. Step 3: Cross multiply
    381,686.48x = 526,717.32 × 211,916.24
  4. Step 4: Simplify right side
    381,686.48x = 111,619,953,997.28
  5. Step 5: Solve for x
    x = 111,619,953,997.28/381,686.48
  6. Step 6: Final answer
    x = 292,438.85

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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.