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Finding the Fourth Proportional to 394,500.80, 591,362.40 and 194,657.60

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Solution

The fourth proportional to 394,500.80, 591,362.40 and 194,657.60 is: 291,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,500.80 : 591,362.40 = 194,657.60 : x
  2. Step 2: Convert to fraction form
    394,500.80/591,362.40 = 194,657.60/x
  3. Step 3: Cross multiply
    394,500.80x = 591,362.40 × 194,657.60
  4. Step 4: Simplify right side
    394,500.80x = 115,113,185,514.24
  5. Step 5: Solve for x
    x = 115,113,185,514.24/394,500.80
  6. Step 6: Final answer
    x = 291,794.56

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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.