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Finding the Fourth Proportional to 407,226.60, 610,693.56 and 140,914.80

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Solution

The fourth proportional to 407,226.60, 610,693.56 and 140,914.80 is: 211,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,226.60 : 610,693.56 = 140,914.80 : x
  2. Step 2: Convert to fraction form
    407,226.60/610,693.56 = 140,914.80/x
  3. Step 3: Cross multiply
    407,226.60x = 610,693.56 × 140,914.80
  4. Step 4: Simplify right side
    407,226.60x = 86,055,760,868.69
  5. Step 5: Solve for x
    x = 86,055,760,868.69/407,226.60
  6. Step 6: Final answer
    x = 211,321.56

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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.