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Finding the Fourth Proportional to 395,954.51, 546,410.10 and 223,869.51

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Solution

The fourth proportional to 395,954.51, 546,410.10 and 223,869.51 is: 308,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,954.51 : 546,410.10 = 223,869.51 : x
  2. Step 2: Convert to fraction form
    395,954.51/546,410.10 = 223,869.51/x
  3. Step 3: Cross multiply
    395,954.51x = 546,410.10 × 223,869.51
  4. Step 4: Simplify right side
    395,954.51x = 122,324,561,346.05
  5. Step 5: Solve for x
    x = 122,324,561,346.05/395,954.51
  6. Step 6: Final answer
    x = 308,935.89

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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.