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Finding the Fourth Proportional to 320,499.25, 442,425.14 and 199,700.20

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Solution

The fourth proportional to 320,499.25, 442,425.14 and 199,700.20 is: 275,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,499.25 : 442,425.14 = 199,700.20 : x
  2. Step 2: Convert to fraction form
    320,499.25/442,425.14 = 199,700.20/x
  3. Step 3: Cross multiply
    320,499.25x = 442,425.14 × 199,700.20
  4. Step 4: Simplify right side
    320,499.25x = 88,352,389,246.43
  5. Step 5: Solve for x
    x = 88,352,389,246.43/320,499.25
  6. Step 6: Final answer
    x = 275,671.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.