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Finding the Fourth Proportional to 367,727.40, 551,198.70 and 209,615.40

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Solution

The fourth proportional to 367,727.40, 551,198.70 and 209,615.40 is: 314,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,727.40 : 551,198.70 = 209,615.40 : x
  2. Step 2: Convert to fraction form
    367,727.40/551,198.70 = 209,615.40/x
  3. Step 3: Cross multiply
    367,727.40x = 551,198.70 × 209,615.40
  4. Step 4: Simplify right side
    367,727.40x = 115,539,735,979.98
  5. Step 5: Solve for x
    x = 115,539,735,979.98/367,727.40
  6. Step 6: Final answer
    x = 314,199.42

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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.