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Finding the Fourth Proportional to 265,979.20, 398,968.80 and 206,492.80

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Solution

The fourth proportional to 265,979.20, 398,968.80 and 206,492.80 is: 309,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,979.20 : 398,968.80 = 206,492.80 : x
  2. Step 2: Convert to fraction form
    265,979.20/398,968.80 = 206,492.80/x
  3. Step 3: Cross multiply
    265,979.20x = 398,968.80 × 206,492.80
  4. Step 4: Simplify right side
    265,979.20x = 82,384,184,624.64
  5. Step 5: Solve for x
    x = 82,384,184,624.64/265,979.20
  6. Step 6: Final answer
    x = 309,739.20

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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.