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Finding the Fourth Proportional to 243,042.60, 364,563.90 and 198,719.40

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Solution

The fourth proportional to 243,042.60, 364,563.90 and 198,719.40 is: 298,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,042.60 : 364,563.90 = 198,719.40 : x
  2. Step 2: Convert to fraction form
    243,042.60/364,563.90 = 198,719.40/x
  3. Step 3: Cross multiply
    243,042.60x = 364,563.90 × 198,719.40
  4. Step 4: Simplify right side
    243,042.60x = 72,445,919,469.66
  5. Step 5: Solve for x
    x = 72,445,919,469.66/243,042.60
  6. Step 6: Final answer
    x = 298,079.10

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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.