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Finding the Fourth Proportional to 289,294.47, 399,221.91 and 161,974.62

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Solution

The fourth proportional to 289,294.47, 399,221.91 and 161,974.62 is: 223,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.47 : 399,221.91 = 161,974.62 : x
  2. Step 2: Convert to fraction form
    289,294.47/399,221.91 = 161,974.62/x
  3. Step 3: Cross multiply
    289,294.47x = 399,221.91 × 161,974.62
  4. Step 4: Simplify right side
    289,294.47x = 64,663,817,167.92
  5. Step 5: Solve for x
    x = 64,663,817,167.92/289,294.47
  6. Step 6: Final answer
    x = 223,522.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.