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Finding the Fourth Proportional to 407,956.68, 611,415.78 and 230,562.60

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Solution

The fourth proportional to 407,956.68, 611,415.78 and 230,562.60 is: 345,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,956.68 : 611,415.78 = 230,562.60 : x
  2. Step 2: Convert to fraction form
    407,956.68/611,415.78 = 230,562.60/x
  3. Step 3: Cross multiply
    407,956.68x = 611,415.78 × 230,562.60
  4. Step 4: Simplify right side
    407,956.68x = 140,969,611,917.83
  5. Step 5: Solve for x
    x = 140,969,611,917.83/407,956.68
  6. Step 6: Final answer
    x = 345,550.44

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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.