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Finding the Fourth Proportional to 361,409.40, 542,114.10 and 303,672.60

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Solution

The fourth proportional to 361,409.40, 542,114.10 and 303,672.60 is: 455,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,409.40 : 542,114.10 = 303,672.60 : x
  2. Step 2: Convert to fraction form
    361,409.40/542,114.10 = 303,672.60/x
  3. Step 3: Cross multiply
    361,409.40x = 542,114.10 × 303,672.60
  4. Step 4: Simplify right side
    361,409.40x = 164,625,198,243.66
  5. Step 5: Solve for x
    x = 164,625,198,243.66/361,409.40
  6. Step 6: Final answer
    x = 455,508.90

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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.