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Finding the Fourth Proportional to 421,392.24, 631,956.60 and 140,843.88

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Solution

The fourth proportional to 421,392.24, 631,956.60 and 140,843.88 is: 211,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,392.24 : 631,956.60 = 140,843.88 : x
  2. Step 2: Convert to fraction form
    421,392.24/631,956.60 = 140,843.88/x
  3. Step 3: Cross multiply
    421,392.24x = 631,956.60 × 140,843.88
  4. Step 4: Simplify right side
    421,392.24x = 89,007,219,535.61
  5. Step 5: Solve for x
    x = 89,007,219,535.61/421,392.24
  6. Step 6: Final answer
    x = 211,221.78

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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.