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Finding the Fourth Proportional to 320,469, 442,229.25 and 175,245.99

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Solution

The fourth proportional to 320,469, 442,229.25 and 175,245.99 is: 241,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469 : 442,229.25 = 175,245.99 : x
  2. Step 2: Convert to fraction form
    320,469/442,229.25 = 175,245.99/x
  3. Step 3: Cross multiply
    320,469x = 442,229.25 × 175,245.99
  4. Step 4: Simplify right side
    320,469x = 77,498,902,723.21
  5. Step 5: Solve for x
    x = 77,498,902,723.21/320,469
  6. Step 6: Final answer
    x = 241,829.64

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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.