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Finding the Fourth Proportional to 421,431.52, 632,076.72 and 140,947.84

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Solution

The fourth proportional to 421,431.52, 632,076.72 and 140,947.84 is: 211,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,431.52 : 632,076.72 = 140,947.84 : x
  2. Step 2: Convert to fraction form
    421,431.52/632,076.72 = 140,947.84/x
  3. Step 3: Cross multiply
    421,431.52x = 632,076.72 × 140,947.84
  4. Step 4: Simplify right side
    421,431.52x = 89,089,848,398.28
  5. Step 5: Solve for x
    x = 89,089,848,398.28/421,431.52
  6. Step 6: Final answer
    x = 211,398.16

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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.