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Finding the Fourth Proportional to 381,218.76, 526,068.45 and 211,468.68

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Solution

The fourth proportional to 381,218.76, 526,068.45 and 211,468.68 is: 291,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,218.76 : 526,068.45 = 211,468.68 : x
  2. Step 2: Convert to fraction form
    381,218.76/526,068.45 = 211,468.68/x
  3. Step 3: Cross multiply
    381,218.76x = 526,068.45 × 211,468.68
  4. Step 4: Simplify right side
    381,218.76x = 111,247,000,711.15
  5. Step 5: Solve for x
    x = 111,247,000,711.15/381,218.76
  6. Step 6: Final answer
    x = 291,819.32

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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.