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Finding the Fourth Proportional to 283,858.11, 426,082.46 and 209,062.71

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Solution

The fourth proportional to 283,858.11, 426,082.46 and 209,062.71 is: 313,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,858.11 : 426,082.46 = 209,062.71 : x
  2. Step 2: Convert to fraction form
    283,858.11/426,082.46 = 209,062.71/x
  3. Step 3: Cross multiply
    283,858.11x = 426,082.46 × 209,062.71
  4. Step 4: Simplify right side
    283,858.11x = 89,077,952,725.75
  5. Step 5: Solve for x
    x = 89,077,952,725.75/283,858.11
  6. Step 6: Final answer
    x = 313,811.55

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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.