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Finding the Fourth Proportional to 404,255.10, 606,297.60 and 204,387.60

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Solution

The fourth proportional to 404,255.10, 606,297.60 and 204,387.60 is: 306,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,255.10 : 606,297.60 = 204,387.60 : x
  2. Step 2: Convert to fraction form
    404,255.10/606,297.60 = 204,387.60/x
  3. Step 3: Cross multiply
    404,255.10x = 606,297.60 × 204,387.60
  4. Step 4: Simplify right side
    404,255.10x = 123,919,711,349.76
  5. Step 5: Solve for x
    x = 123,919,711,349.76/404,255.10
  6. Step 6: Final answer
    x = 306,538.40

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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.