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Finding the Fourth Proportional to 321,891.84, 482,889.60 and 100,224

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Solution

The fourth proportional to 321,891.84, 482,889.60 and 100,224 is: 150,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,891.84 : 482,889.60 = 100,224 : x
  2. Step 2: Convert to fraction form
    321,891.84/482,889.60 = 100,224/x
  3. Step 3: Cross multiply
    321,891.84x = 482,889.60 × 100,224
  4. Step 4: Simplify right side
    321,891.84x = 48,397,127,270.40
  5. Step 5: Solve for x
    x = 48,397,127,270.40/321,891.84
  6. Step 6: Final answer
    x = 150,352.14

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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.