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Finding the Fourth Proportional to 578,074.72, 866,896.80 and 198,889.60

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Solution

The fourth proportional to 578,074.72, 866,896.80 and 198,889.60 is: 298,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,074.72 : 866,896.80 = 198,889.60 : x
  2. Step 2: Convert to fraction form
    578,074.72/866,896.80 = 198,889.60/x
  3. Step 3: Cross multiply
    578,074.72x = 866,896.80 × 198,889.60
  4. Step 4: Simplify right side
    578,074.72x = 172,416,757,793.28
  5. Step 5: Solve for x
    x = 172,416,757,793.28/578,074.72
  6. Step 6: Final answer
    x = 298,260.33

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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.