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Finding the Fourth Proportional to 419,084.52, 578,336.67 and 228,099.30

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Solution

The fourth proportional to 419,084.52, 578,336.67 and 228,099.30 is: 314,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,084.52 : 578,336.67 = 228,099.30 : x
  2. Step 2: Convert to fraction form
    419,084.52/578,336.67 = 228,099.30/x
  3. Step 3: Cross multiply
    419,084.52x = 578,336.67 × 228,099.30
  4. Step 4: Simplify right side
    419,084.52x = 131,918,189,591.33
  5. Step 5: Solve for x
    x = 131,918,189,591.33/419,084.52
  6. Step 6: Final answer
    x = 314,777.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.