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Finding the Fourth Proportional to 330,884.80, 496,327.20 and 294,143.20

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Solution

The fourth proportional to 330,884.80, 496,327.20 and 294,143.20 is: 441,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,884.80 : 496,327.20 = 294,143.20 : x
  2. Step 2: Convert to fraction form
    330,884.80/496,327.20 = 294,143.20/x
  3. Step 3: Cross multiply
    330,884.80x = 496,327.20 × 294,143.20
  4. Step 4: Simplify right side
    330,884.80x = 145,991,270,855.04
  5. Step 5: Solve for x
    x = 145,991,270,855.04/330,884.80
  6. Step 6: Final answer
    x = 441,214.80

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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.