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Finding the Fourth Proportional to 400,057.60, 599,990.40 and 231,212.80

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Solution

The fourth proportional to 400,057.60, 599,990.40 and 231,212.80 is: 346,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,057.60 : 599,990.40 = 231,212.80 : x
  2. Step 2: Convert to fraction form
    400,057.60/599,990.40 = 231,212.80/x
  3. Step 3: Cross multiply
    400,057.60x = 599,990.40 × 231,212.80
  4. Step 4: Simplify right side
    400,057.60x = 138,725,460,357.12
  5. Step 5: Solve for x
    x = 138,725,460,357.12/400,057.60
  6. Step 6: Final answer
    x = 346,763.72

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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.