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Finding the Fourth Proportional to 378,257.80, 567,386.70 and 220,664.20

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Solution

The fourth proportional to 378,257.80, 567,386.70 and 220,664.20 is: 330,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,257.80 : 567,386.70 = 220,664.20 : x
  2. Step 2: Convert to fraction form
    378,257.80/567,386.70 = 220,664.20/x
  3. Step 3: Cross multiply
    378,257.80x = 567,386.70 × 220,664.20
  4. Step 4: Simplify right side
    378,257.80x = 125,201,932,246.14
  5. Step 5: Solve for x
    x = 125,201,932,246.14/378,257.80
  6. Step 6: Final answer
    x = 330,996.30

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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.