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Finding the Fourth Proportional to 209,435.43, 311,784.38 and 208,189.87

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Solution

The fourth proportional to 209,435.43, 311,784.38 and 208,189.87 is: 309,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.43 : 311,784.38 = 208,189.87 : x
  2. Step 2: Convert to fraction form
    209,435.43/311,784.38 = 208,189.87/x
  3. Step 3: Cross multiply
    209,435.43x = 311,784.38 × 208,189.87
  4. Step 4: Simplify right side
    209,435.43x = 64,910,349,540.23
  5. Step 5: Solve for x
    x = 64,910,349,540.23/209,435.43
  6. Step 6: Final answer
    x = 309,930.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.