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Finding the Fourth Proportional to 206,720.10, 310,080.15 and 198,846.90

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Solution

The fourth proportional to 206,720.10, 310,080.15 and 198,846.90 is: 298,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,720.10 : 310,080.15 = 198,846.90 : x
  2. Step 2: Convert to fraction form
    206,720.10/310,080.15 = 198,846.90/x
  3. Step 3: Cross multiply
    206,720.10x = 310,080.15 × 198,846.90
  4. Step 4: Simplify right side
    206,720.10x = 61,658,476,579.04
  5. Step 5: Solve for x
    x = 61,658,476,579.04/206,720.10
  6. Step 6: Final answer
    x = 298,270.35

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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.