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Finding the Fourth Proportional to 378,999.20, 567,807.60 and 308,496.80

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Solution

The fourth proportional to 378,999.20, 567,807.60 and 308,496.80 is: 462,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,999.20 : 567,807.60 = 308,496.80 : x
  2. Step 2: Convert to fraction form
    378,999.20/567,807.60 = 308,496.80/x
  3. Step 3: Cross multiply
    378,999.20x = 567,807.60 × 308,496.80
  4. Step 4: Simplify right side
    378,999.20x = 175,166,827,615.68
  5. Step 5: Solve for x
    x = 175,166,827,615.68/378,999.20
  6. Step 6: Final answer
    x = 462,182.58

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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.