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Finding the Fourth Proportional to 229,383.54, 316,574.10 and 138,789.47

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Solution

The fourth proportional to 229,383.54, 316,574.10 and 138,789.47 is: 191,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,383.54 : 316,574.10 = 138,789.47 : x
  2. Step 2: Convert to fraction form
    229,383.54/316,574.10 = 138,789.47/x
  3. Step 3: Cross multiply
    229,383.54x = 316,574.10 × 138,789.47
  4. Step 4: Simplify right side
    229,383.54x = 43,937,149,971.86
  5. Step 5: Solve for x
    x = 43,937,149,971.86/229,383.54
  6. Step 6: Final answer
    x = 191,544.48

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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.