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Finding the Fourth Proportional to 399,620.32, 598,913.80 and 298,990.98

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Solution

The fourth proportional to 399,620.32, 598,913.80 and 298,990.98 is: 448,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,620.32 : 598,913.80 = 298,990.98 : x
  2. Step 2: Convert to fraction form
    399,620.32/598,913.80 = 298,990.98/x
  3. Step 3: Cross multiply
    399,620.32x = 598,913.80 × 298,990.98
  4. Step 4: Simplify right side
    399,620.32x = 179,069,823,250.05
  5. Step 5: Solve for x
    x = 179,069,823,250.05/399,620.32
  6. Step 6: Final answer
    x = 448,099.90

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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.