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Finding the Fourth Proportional to 408,974.60, 613,461.90 and 231,827.60

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Solution

The fourth proportional to 408,974.60, 613,461.90 and 231,827.60 is: 347,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,974.60 : 613,461.90 = 231,827.60 : x
  2. Step 2: Convert to fraction form
    408,974.60/613,461.90 = 231,827.60/x
  3. Step 3: Cross multiply
    408,974.60x = 613,461.90 × 231,827.60
  4. Step 4: Simplify right side
    408,974.60x = 142,217,399,968.44
  5. Step 5: Solve for x
    x = 142,217,399,968.44/408,974.60
  6. Step 6: Final answer
    x = 347,741.40

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Double scale
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1.5x scale

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.