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Finding the Fourth Proportional to 381,462.24, 526,296.24 and 220,296

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Solution

The fourth proportional to 381,462.24, 526,296.24 and 220,296 is: 303,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,462.24 : 526,296.24 = 220,296 : x
  2. Step 2: Convert to fraction form
    381,462.24/526,296.24 = 220,296/x
  3. Step 3: Cross multiply
    381,462.24x = 526,296.24 × 220,296
  4. Step 4: Simplify right side
    381,462.24x = 115,940,956,487.04
  5. Step 5: Solve for x
    x = 115,940,956,487.04/381,462.24
  6. Step 6: Final answer
    x = 303,938.23

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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.