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Finding the Fourth Proportional to 401,370.67, 601,979.32 and 201,635.61

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Solution

The fourth proportional to 401,370.67, 601,979.32 and 201,635.61 is: 302,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,370.67 : 601,979.32 = 201,635.61 : x
  2. Step 2: Convert to fraction form
    401,370.67/601,979.32 = 201,635.61/x
  3. Step 3: Cross multiply
    401,370.67x = 601,979.32 × 201,635.61
  4. Step 4: Simplify right side
    401,370.67x = 121,380,467,395.59
  5. Step 5: Solve for x
    x = 121,380,467,395.59/401,370.67
  6. Step 6: Final answer
    x = 302,414.89

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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.