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Finding the Fourth Proportional to 521,839.70, 782,832.45 and 222,317.90

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Solution

The fourth proportional to 521,839.70, 782,832.45 and 222,317.90 is: 333,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,839.70 : 782,832.45 = 222,317.90 : x
  2. Step 2: Convert to fraction form
    521,839.70/782,832.45 = 222,317.90/x
  3. Step 3: Cross multiply
    521,839.70x = 782,832.45 × 222,317.90
  4. Step 4: Simplify right side
    521,839.70x = 174,037,666,335.86
  5. Step 5: Solve for x
    x = 174,037,666,335.86/521,839.70
  6. Step 6: Final answer
    x = 333,507.91

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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.