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Finding the Fourth Proportional to 248,564.72, 343,023.28 and 135,387.48

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Solution

The fourth proportional to 248,564.72, 343,023.28 and 135,387.48 is: 186,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,564.72 : 343,023.28 = 135,387.48 : x
  2. Step 2: Convert to fraction form
    248,564.72/343,023.28 = 135,387.48/x
  3. Step 3: Cross multiply
    248,564.72x = 343,023.28 × 135,387.48
  4. Step 4: Simplify right side
    248,564.72x = 46,441,057,460.53
  5. Step 5: Solve for x
    x = 46,441,057,460.53/248,564.72
  6. Step 6: Final answer
    x = 186,836.88

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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.