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Finding the Fourth Proportional to 311,362.60, 429,507.54 and 204,105.64

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Solution

The fourth proportional to 311,362.60, 429,507.54 and 204,105.64 is: 281,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,362.60 : 429,507.54 = 204,105.64 : x
  2. Step 2: Convert to fraction form
    311,362.60/429,507.54 = 204,105.64/x
  3. Step 3: Cross multiply
    311,362.60x = 429,507.54 × 204,105.64
  4. Step 4: Simplify right side
    311,362.60x = 87,664,911,336.53
  5. Step 5: Solve for x
    x = 87,664,911,336.53/311,362.60
  6. Step 6: Final answer
    x = 281,552.48

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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.