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Finding the Fourth Proportional to 330,698.50, 496,047.75 and 81,380.50

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Solution

The fourth proportional to 330,698.50, 496,047.75 and 81,380.50 is: 122,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,698.50 : 496,047.75 = 81,380.50 : x
  2. Step 2: Convert to fraction form
    330,698.50/496,047.75 = 81,380.50/x
  3. Step 3: Cross multiply
    330,698.50x = 496,047.75 × 81,380.50
  4. Step 4: Simplify right side
    330,698.50x = 40,368,613,918.88
  5. Step 5: Solve for x
    x = 40,368,613,918.88/330,698.50
  6. Step 6: Final answer
    x = 122,070.75

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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.