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Finding the Fourth Proportional to 320,599.80, 442,434.78 and 177,370.02

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Solution

The fourth proportional to 320,599.80, 442,434.78 and 177,370.02 is: 244,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599.80 : 442,434.78 = 177,370.02 : x
  2. Step 2: Convert to fraction form
    320,599.80/442,434.78 = 177,370.02/x
  3. Step 3: Cross multiply
    320,599.80x = 442,434.78 × 177,370.02
  4. Step 4: Simplify right side
    320,599.80x = 78,474,665,777.30
  5. Step 5: Solve for x
    x = 78,474,665,777.30/320,599.80
  6. Step 6: Final answer
    x = 244,774.53

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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.