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Finding the Fourth Proportional to 381,446.16, 526,377.96 and 211,678.80

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Solution

The fourth proportional to 381,446.16, 526,377.96 and 211,678.80 is: 292,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,446.16 : 526,377.96 = 211,678.80 : x
  2. Step 2: Convert to fraction form
    381,446.16/526,377.96 = 211,678.80/x
  3. Step 3: Cross multiply
    381,446.16x = 526,377.96 × 211,678.80
  4. Step 4: Simplify right side
    381,446.16x = 111,423,054,919.25
  5. Step 5: Solve for x
    x = 111,423,054,919.25/381,446.16
  6. Step 6: Final answer
    x = 292,106.90

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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.