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Finding the Fourth Proportional to 381,705.40, 526,703.88 and 211,906.72

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Solution

The fourth proportional to 381,705.40, 526,703.88 and 211,906.72 is: 292,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,705.40 : 526,703.88 = 211,906.72 : x
  2. Step 2: Convert to fraction form
    381,705.40/526,703.88 = 211,906.72/x
  3. Step 3: Cross multiply
    381,705.40x = 526,703.88 × 211,906.72
  4. Step 4: Simplify right side
    381,705.40x = 111,612,091,622.07
  5. Step 5: Solve for x
    x = 111,612,091,622.07/381,705.40
  6. Step 6: Final answer
    x = 292,403.75

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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.