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Finding the Fourth Proportional to 367,205.40, 550,808.10 and 209,449.80

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Solution

The fourth proportional to 367,205.40, 550,808.10 and 209,449.80 is: 314,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,205.40 : 550,808.10 = 209,449.80 : x
  2. Step 2: Convert to fraction form
    367,205.40/550,808.10 = 209,449.80/x
  3. Step 3: Cross multiply
    367,205.40x = 550,808.10 × 209,449.80
  4. Step 4: Simplify right side
    367,205.40x = 115,366,646,383.38
  5. Step 5: Solve for x
    x = 115,366,646,383.38/367,205.40
  6. Step 6: Final answer
    x = 314,174.70

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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.