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Finding the Fourth Proportional to 378,052.40, 566,203.80 and 259,079.60

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Solution

The fourth proportional to 378,052.40, 566,203.80 and 259,079.60 is: 388,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,052.40 : 566,203.80 = 259,079.60 : x
  2. Step 2: Convert to fraction form
    378,052.40/566,203.80 = 259,079.60/x
  3. Step 3: Cross multiply
    378,052.40x = 566,203.80 × 259,079.60
  4. Step 4: Simplify right side
    378,052.40x = 146,691,854,022.48
  5. Step 5: Solve for x
    x = 146,691,854,022.48/378,052.40
  6. Step 6: Final answer
    x = 388,019.90

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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.