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Finding the Fourth Proportional to 381,384.96, 526,309.56 and 211,618.68

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Solution

The fourth proportional to 381,384.96, 526,309.56 and 211,618.68 is: 292,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384.96 : 526,309.56 = 211,618.68 : x
  2. Step 2: Convert to fraction form
    381,384.96/526,309.56 = 211,618.68/x
  3. Step 3: Cross multiply
    381,384.96x = 526,309.56 × 211,618.68
  4. Step 4: Simplify right side
    381,384.96x = 111,376,934,358.58
  5. Step 5: Solve for x
    x = 111,376,934,358.58/381,384.96
  6. Step 6: Final answer
    x = 292,032.84

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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.