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Finding the Fourth Proportional to 523,492.20, 784,993.01 and 219,821.47

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Solution

The fourth proportional to 523,492.20, 784,993.01 and 219,821.47 is: 329,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,492.20 : 784,993.01 = 219,821.47 : x
  2. Step 2: Convert to fraction form
    523,492.20/784,993.01 = 219,821.47/x
  3. Step 3: Cross multiply
    523,492.20x = 784,993.01 × 219,821.47
  4. Step 4: Simplify right side
    523,492.20x = 172,558,314,336.34
  5. Step 5: Solve for x
    x = 172,558,314,336.34/523,492.20
  6. Step 6: Final answer
    x = 329,629.20

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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.