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Finding the Fourth Proportional to 229,410.36, 316,544.22 and 138,753.54

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Solution

The fourth proportional to 229,410.36, 316,544.22 and 138,753.54 is: 191,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410.36 : 316,544.22 = 138,753.54 : x
  2. Step 2: Convert to fraction form
    229,410.36/316,544.22 = 138,753.54/x
  3. Step 3: Cross multiply
    229,410.36x = 316,544.22 × 138,753.54
  4. Step 4: Simplify right side
    229,410.36x = 43,921,631,091.54
  5. Step 5: Solve for x
    x = 43,921,631,091.54/229,410.36
  6. Step 6: Final answer
    x = 191,454.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.