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Finding the Fourth Proportional to 381,411.24, 526,372.08 and 211,645.35

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Solution

The fourth proportional to 381,411.24, 526,372.08 and 211,645.35 is: 292,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,411.24 : 526,372.08 = 211,645.35 : x
  2. Step 2: Convert to fraction form
    381,411.24/526,372.08 = 211,645.35/x
  3. Step 3: Cross multiply
    381,411.24x = 526,372.08 × 211,645.35
  4. Step 4: Simplify right side
    381,411.24x = 111,404,203,101.83
  5. Step 5: Solve for x
    x = 111,404,203,101.83/381,411.24
  6. Step 6: Final answer
    x = 292,084.22

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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.