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Finding the Fourth Proportional to 399,608.24, 598,895.68 and 298,978.90

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Solution

The fourth proportional to 399,608.24, 598,895.68 and 298,978.90 is: 448,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,608.24 : 598,895.68 = 298,978.90 : x
  2. Step 2: Convert to fraction form
    399,608.24/598,895.68 = 298,978.90/x
  3. Step 3: Cross multiply
    399,608.24x = 598,895.68 × 298,978.90
  4. Step 4: Simplify right side
    399,608.24x = 179,057,171,621.15
  5. Step 5: Solve for x
    x = 179,057,171,621.15/399,608.24
  6. Step 6: Final answer
    x = 448,081.78

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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.