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Finding the Fourth Proportional to 330,006.60, 494,135.10 and 260,022.60

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Solution

The fourth proportional to 330,006.60, 494,135.10 and 260,022.60 is: 389,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,006.60 : 494,135.10 = 260,022.60 : x
  2. Step 2: Convert to fraction form
    330,006.60/494,135.10 = 260,022.60/x
  3. Step 3: Cross multiply
    330,006.60x = 494,135.10 × 260,022.60
  4. Step 4: Simplify right side
    330,006.60x = 128,486,293,453.26
  5. Step 5: Solve for x
    x = 128,486,293,453.26/330,006.60
  6. Step 6: Final answer
    x = 389,344.62

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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.