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Finding the Fourth Proportional to 478,414.22, 717,622.34 and 449,184.96

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Solution

The fourth proportional to 478,414.22, 717,622.34 and 449,184.96 is: 673,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,414.22 : 717,622.34 = 449,184.96 : x
  2. Step 2: Convert to fraction form
    478,414.22/717,622.34 = 449,184.96/x
  3. Step 3: Cross multiply
    478,414.22x = 717,622.34 × 449,184.96
  4. Step 4: Simplify right side
    478,414.22x = 322,345,159,842.08
  5. Step 5: Solve for x
    x = 322,345,159,842.08/478,414.22
  6. Step 6: Final answer
    x = 673,778.39

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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.