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Finding the Fourth Proportional to 387,093.48, 534,230.88 and 234,216

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Solution

The fourth proportional to 387,093.48, 534,230.88 and 234,216 is: 323,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,093.48 : 534,230.88 = 234,216 : x
  2. Step 2: Convert to fraction form
    387,093.48/534,230.88 = 234,216/x
  3. Step 3: Cross multiply
    387,093.48x = 534,230.88 × 234,216
  4. Step 4: Simplify right side
    387,093.48x = 125,125,419,790.08
  5. Step 5: Solve for x
    x = 125,125,419,790.08/387,093.48
  6. Step 6: Final answer
    x = 323,243.42

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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.