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Finding the Fourth Proportional to 330,844.80, 496,267.20 and 206,428.80

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Solution

The fourth proportional to 330,844.80, 496,267.20 and 206,428.80 is: 309,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,844.80 : 496,267.20 = 206,428.80 : x
  2. Step 2: Convert to fraction form
    330,844.80/496,267.20 = 206,428.80/x
  3. Step 3: Cross multiply
    330,844.80x = 496,267.20 × 206,428.80
  4. Step 4: Simplify right side
    330,844.80x = 102,443,842,575.36
  5. Step 5: Solve for x
    x = 102,443,842,575.36/330,844.80
  6. Step 6: Final answer
    x = 309,643.20

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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.