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Finding the Fourth Proportional to 320,870, 441,811.56 and 284,997.68

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Solution

The fourth proportional to 320,870, 441,811.56 and 284,997.68 is: 392,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,870 : 441,811.56 = 284,997.68 : x
  2. Step 2: Convert to fraction form
    320,870/441,811.56 = 284,997.68/x
  3. Step 3: Cross multiply
    320,870x = 441,811.56 × 284,997.68
  4. Step 4: Simplify right side
    320,870x = 125,915,269,597.18
  5. Step 5: Solve for x
    x = 125,915,269,597.18/320,870
  6. Step 6: Final answer
    x = 392,418.33

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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.