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Finding the Fourth Proportional to 420,832, 580,765.44 and 241,984

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Solution

The fourth proportional to 420,832, 580,765.44 and 241,984 is: 333,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,832 : 580,765.44 = 241,984 : x
  2. Step 2: Convert to fraction form
    420,832/580,765.44 = 241,984/x
  3. Step 3: Cross multiply
    420,832x = 580,765.44 × 241,984
  4. Step 4: Simplify right side
    420,832x = 140,535,944,232.96
  5. Step 5: Solve for x
    x = 140,535,944,232.96/420,832
  6. Step 6: Final answer
    x = 333,947.86

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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.