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Finding the Fourth Proportional to 421,391.52, 632,016.48 and 140,908.32

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Solution

The fourth proportional to 421,391.52, 632,016.48 and 140,908.32 is: 211,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,391.52 : 632,016.48 = 140,908.32 : x
  2. Step 2: Convert to fraction form
    421,391.52/632,016.48 = 140,908.32/x
  3. Step 3: Cross multiply
    421,391.52x = 632,016.48 × 140,908.32
  4. Step 4: Simplify right side
    421,391.52x = 89,056,380,409.11
  5. Step 5: Solve for x
    x = 89,056,380,409.11/421,391.52
  6. Step 6: Final answer
    x = 211,338.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.