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Finding the Fourth Proportional to 478,336.82, 717,506.14 and 449,107.57

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Solution

The fourth proportional to 478,336.82, 717,506.14 and 449,107.57 is: 673,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,336.82 : 717,506.14 = 449,107.57 : x
  2. Step 2: Convert to fraction form
    478,336.82/717,506.14 = 449,107.57/x
  3. Step 3: Cross multiply
    478,336.82x = 717,506.14 × 449,107.57
  4. Step 4: Simplify right side
    478,336.82x = 322,237,436,838.81
  5. Step 5: Solve for x
    x = 322,237,436,838.81/478,336.82
  6. Step 6: Final answer
    x = 673,662.20

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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.