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Finding the Fourth Proportional to 330,274.80, 494,756.10 and 180,246.60

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Solution

The fourth proportional to 330,274.80, 494,756.10 and 180,246.60 is: 270,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,274.80 : 494,756.10 = 180,246.60 : x
  2. Step 2: Convert to fraction form
    330,274.80/494,756.10 = 180,246.60/x
  3. Step 3: Cross multiply
    330,274.80x = 494,756.10 × 180,246.60
  4. Step 4: Simplify right side
    330,274.80x = 89,178,104,854.26
  5. Step 5: Solve for x
    x = 89,178,104,854.26/330,274.80
  6. Step 6: Final answer
    x = 270,011.84

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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.