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Finding the Fourth Proportional to 378,576.40, 567,879.20 and 98,086.36

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Solution

The fourth proportional to 378,576.40, 567,879.20 and 98,086.36 is: 147,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576.40 : 567,879.20 = 98,086.36 : x
  2. Step 2: Convert to fraction form
    378,576.40/567,879.20 = 98,086.36/x
  3. Step 3: Cross multiply
    378,576.40x = 567,879.20 × 98,086.36
  4. Step 4: Simplify right side
    378,576.40x = 55,701,203,647.71
  5. Step 5: Solve for x
    x = 55,701,203,647.71/378,576.40
  6. Step 6: Final answer
    x = 147,133.32

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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.