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Finding the Fourth Proportional to 331,982.40, 497,379.60 and 201,914.40

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Solution

The fourth proportional to 331,982.40, 497,379.60 and 201,914.40 is: 302,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,982.40 : 497,379.60 = 201,914.40 : x
  2. Step 2: Convert to fraction form
    331,982.40/497,379.60 = 201,914.40/x
  3. Step 3: Cross multiply
    331,982.40x = 497,379.60 × 201,914.40
  4. Step 4: Simplify right side
    331,982.40x = 100,428,103,506.24
  5. Step 5: Solve for x
    x = 100,428,103,506.24/331,982.40
  6. Step 6: Final answer
    x = 302,510.32

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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.