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Finding the Fourth Proportional to 367,612.90, 551,419.35 and 209,857.30

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Solution

The fourth proportional to 367,612.90, 551,419.35 and 209,857.30 is: 314,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,612.90 : 551,419.35 = 209,857.30 : x
  2. Step 2: Convert to fraction form
    367,612.90/551,419.35 = 209,857.30/x
  3. Step 3: Cross multiply
    367,612.90x = 551,419.35 × 209,857.30
  4. Step 4: Simplify right side
    367,612.90x = 115,719,375,958.76
  5. Step 5: Solve for x
    x = 115,719,375,958.76/367,612.90
  6. Step 6: Final answer
    x = 314,785.95

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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.