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Finding the Fourth Proportional to 331,971.90, 497,363.85 and 201,903.90

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Solution

The fourth proportional to 331,971.90, 497,363.85 and 201,903.90 is: 302,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,971.90 : 497,363.85 = 201,903.90 : x
  2. Step 2: Convert to fraction form
    331,971.90/497,363.85 = 201,903.90/x
  3. Step 3: Cross multiply
    331,971.90x = 497,363.85 × 201,903.90
  4. Step 4: Simplify right side
    331,971.90x = 100,419,701,034.02
  5. Step 5: Solve for x
    x = 100,419,701,034.02/331,971.90
  6. Step 6: Final answer
    x = 302,494.58

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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.