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Finding the Fourth Proportional to 215,825.20, 323,814.60 and 208,145.20

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Solution

The fourth proportional to 215,825.20, 323,814.60 and 208,145.20 is: 312,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,825.20 : 323,814.60 = 208,145.20 : x
  2. Step 2: Convert to fraction form
    215,825.20/323,814.60 = 208,145.20/x
  3. Step 3: Cross multiply
    215,825.20x = 323,814.60 × 208,145.20
  4. Step 4: Simplify right side
    215,825.20x = 67,400,454,679.92
  5. Step 5: Solve for x
    x = 67,400,454,679.92/215,825.20
  6. Step 6: Final answer
    x = 312,291.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.