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Finding the Fourth Proportional to 421,433.28, 632,236.32 and 140,952.96

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Solution

The fourth proportional to 421,433.28, 632,236.32 and 140,952.96 is: 211,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,433.28 : 632,236.32 = 140,952.96 : x
  2. Step 2: Convert to fraction form
    421,433.28/632,236.32 = 140,952.96/x
  3. Step 3: Cross multiply
    421,433.28x = 632,236.32 × 140,952.96
  4. Step 4: Simplify right side
    421,433.28x = 89,115,580,723.51
  5. Step 5: Solve for x
    x = 89,115,580,723.51/421,433.28
  6. Step 6: Final answer
    x = 211,458.34

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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.