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Finding the Fourth Proportional to 206,724.60, 310,086.90 and 198,851.40

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Solution

The fourth proportional to 206,724.60, 310,086.90 and 198,851.40 is: 298,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,724.60 : 310,086.90 = 198,851.40 : x
  2. Step 2: Convert to fraction form
    206,724.60/310,086.90 = 198,851.40/x
  3. Step 3: Cross multiply
    206,724.60x = 310,086.90 × 198,851.40
  4. Step 4: Simplify right side
    206,724.60x = 61,661,214,186.66
  5. Step 5: Solve for x
    x = 61,661,214,186.66/206,724.60
  6. Step 6: Final answer
    x = 298,277.10

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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.