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Finding the Fourth Proportional to 318,728.40, 477,982.44 and 141,359.46

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Solution

The fourth proportional to 318,728.40, 477,982.44 and 141,359.46 is: 211,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,728.40 : 477,982.44 = 141,359.46 : x
  2. Step 2: Convert to fraction form
    318,728.40/477,982.44 = 141,359.46/x
  3. Step 3: Cross multiply
    318,728.40x = 477,982.44 × 141,359.46
  4. Step 4: Simplify right side
    318,728.40x = 67,567,339,607.88
  5. Step 5: Solve for x
    x = 67,567,339,607.88/318,728.40
  6. Step 6: Final answer
    x = 211,990.33

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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.