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Finding the Fourth Proportional to 381,446.84, 526,342.91 and 228,449.18

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Solution

The fourth proportional to 381,446.84, 526,342.91 and 228,449.18 is: 315,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,446.84 : 526,342.91 = 228,449.18 : x
  2. Step 2: Convert to fraction form
    381,446.84/526,342.91 = 228,449.18/x
  3. Step 3: Cross multiply
    381,446.84x = 526,342.91 × 228,449.18
  4. Step 4: Simplify right side
    381,446.84x = 120,242,602,414.35
  5. Step 5: Solve for x
    x = 120,242,602,414.35/381,446.84
  6. Step 6: Final answer
    x = 315,227.68

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1.5x scale

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.