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Finding the Fourth Proportional to 394,490.80, 591,347.40 and 194,647.60

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Solution

The fourth proportional to 394,490.80, 591,347.40 and 194,647.60 is: 291,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,490.80 : 591,347.40 = 194,647.60 : x
  2. Step 2: Convert to fraction form
    394,490.80/591,347.40 = 194,647.60/x
  3. Step 3: Cross multiply
    394,490.80x = 591,347.40 × 194,647.60
  4. Step 4: Simplify right side
    394,490.80x = 115,104,352,176.24
  5. Step 5: Solve for x
    x = 115,104,352,176.24/394,490.80
  6. Step 6: Final answer
    x = 291,779.56

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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.