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Finding the Fourth Proportional to 378,471.36, 567,816.62 and 112,238.28

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Solution

The fourth proportional to 378,471.36, 567,816.62 and 112,238.28 is: 168,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,471.36 : 567,816.62 = 112,238.28 : x
  2. Step 2: Convert to fraction form
    378,471.36/567,816.62 = 112,238.28/x
  3. Step 3: Cross multiply
    378,471.36x = 567,816.62 × 112,238.28
  4. Step 4: Simplify right side
    378,471.36x = 63,730,760,223.02
  5. Step 5: Solve for x
    x = 63,730,760,223.02/378,471.36
  6. Step 6: Final answer
    x = 168,389.92

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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.