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Finding the Fourth Proportional to 347,847.40, 480,039.78 and 220,493.80

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Solution

The fourth proportional to 347,847.40, 480,039.78 and 220,493.80 is: 304,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,847.40 : 480,039.78 = 220,493.80 : x
  2. Step 2: Convert to fraction form
    347,847.40/480,039.78 = 220,493.80/x
  3. Step 3: Cross multiply
    347,847.40x = 480,039.78 × 220,493.80
  4. Step 4: Simplify right side
    347,847.40x = 105,845,795,243.36
  5. Step 5: Solve for x
    x = 105,845,795,243.36/347,847.40
  6. Step 6: Final answer
    x = 304,288.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.