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Finding the Fourth Proportional to 217,414.60, 326,121.90 and 209,541.40

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Solution

The fourth proportional to 217,414.60, 326,121.90 and 209,541.40 is: 314,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.60 : 326,121.90 = 209,541.40 : x
  2. Step 2: Convert to fraction form
    217,414.60/326,121.90 = 209,541.40/x
  3. Step 3: Cross multiply
    217,414.60x = 326,121.90 × 209,541.40
  4. Step 4: Simplify right side
    217,414.60x = 68,336,039,496.66
  5. Step 5: Solve for x
    x = 68,336,039,496.66/217,414.60
  6. Step 6: Final answer
    x = 314,312.10

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1.5x scale

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.