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Finding the Fourth Proportional to 407,958.68, 611,418.78 and 230,564.60

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Solution

The fourth proportional to 407,958.68, 611,418.78 and 230,564.60 is: 345,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,958.68 : 611,418.78 = 230,564.60 : x
  2. Step 2: Convert to fraction form
    407,958.68/611,418.78 = 230,564.60/x
  3. Step 3: Cross multiply
    407,958.68x = 611,418.78 × 230,564.60
  4. Step 4: Simplify right side
    407,958.68x = 140,971,526,443.19
  5. Step 5: Solve for x
    x = 140,971,526,443.19/407,958.68
  6. Step 6: Final answer
    x = 345,553.44

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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.