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Finding the Fourth Proportional to 209,660.20, 314,490.30 and 197,194.30

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Solution

The fourth proportional to 209,660.20, 314,490.30 and 197,194.30 is: 295,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,660.20 : 314,490.30 = 197,194.30 : x
  2. Step 2: Convert to fraction form
    209,660.20/314,490.30 = 197,194.30/x
  3. Step 3: Cross multiply
    209,660.20x = 314,490.30 × 197,194.30
  4. Step 4: Simplify right side
    209,660.20x = 62,015,694,565.29
  5. Step 5: Solve for x
    x = 62,015,694,565.29/209,660.20
  6. Step 6: Final answer
    x = 295,791.45

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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.