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Finding the Fourth Proportional to 329,198.45, 493,830.53 and 89,316.11

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Solution

The fourth proportional to 329,198.45, 493,830.53 and 89,316.11 is: 133,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,198.45 : 493,830.53 = 89,316.11 : x
  2. Step 2: Convert to fraction form
    329,198.45/493,830.53 = 89,316.11/x
  3. Step 3: Cross multiply
    329,198.45x = 493,830.53 × 89,316.11
  4. Step 4: Simplify right side
    329,198.45x = 44,107,019,023.11
  5. Step 5: Solve for x
    x = 44,107,019,023.11/329,198.45
  6. Step 6: Final answer
    x = 133,983.07

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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.