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Finding the Fourth Proportional to 478,757.36, 718,221.96 and 198,296.24

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Solution

The fourth proportional to 478,757.36, 718,221.96 and 198,296.24 is: 297,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,757.36 : 718,221.96 = 198,296.24 : x
  2. Step 2: Convert to fraction form
    478,757.36/718,221.96 = 198,296.24/x
  3. Step 3: Cross multiply
    478,757.36x = 718,221.96 × 198,296.24
  4. Step 4: Simplify right side
    478,757.36x = 142,420,714,153.43
  5. Step 5: Solve for x
    x = 142,420,714,153.43/478,757.36
  6. Step 6: Final answer
    x = 297,479.95

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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.