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Finding the Fourth Proportional to 234,791.36, 323,652.56 and 143,978.93

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Solution

The fourth proportional to 234,791.36, 323,652.56 and 143,978.93 is: 198,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,791.36 : 323,652.56 = 143,978.93 : x
  2. Step 2: Convert to fraction form
    234,791.36/323,652.56 = 143,978.93/x
  3. Step 3: Cross multiply
    234,791.36x = 323,652.56 × 143,978.93
  4. Step 4: Simplify right side
    234,791.36x = 46,599,146,942.40
  5. Step 5: Solve for x
    x = 46,599,146,942.40/234,791.36
  6. Step 6: Final answer
    x = 198,470.45

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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.