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Finding the Fourth Proportional to 421,227.66, 631,841.58 and 140,744.94

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Solution

The fourth proportional to 421,227.66, 631,841.58 and 140,744.94 is: 211,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,227.66 : 631,841.58 = 140,744.94 : x
  2. Step 2: Convert to fraction form
    421,227.66/631,841.58 = 140,744.94/x
  3. Step 3: Cross multiply
    421,227.66x = 631,841.58 × 140,744.94
  4. Step 4: Simplify right side
    421,227.66x = 88,928,505,266.61
  5. Step 5: Solve for x
    x = 88,928,505,266.61/421,227.66
  6. Step 6: Final answer
    x = 211,117.44

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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.