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Finding the Fourth Proportional to 421,342.98, 631,883.24 and 140,794.62

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Solution

The fourth proportional to 421,342.98, 631,883.24 and 140,794.62 is: 211,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,342.98 : 631,883.24 = 140,794.62 : x
  2. Step 2: Convert to fraction form
    421,342.98/631,883.24 = 140,794.62/x
  3. Step 3: Cross multiply
    421,342.98x = 631,883.24 × 140,794.62
  4. Step 4: Simplify right side
    421,342.98x = 88,965,760,660.17
  5. Step 5: Solve for x
    x = 88,965,760,660.17/421,342.98
  6. Step 6: Final answer
    x = 211,148.08

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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.