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Finding the Fourth Proportional to 289,747.14, 399,849.44 and 162,420

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Solution

The fourth proportional to 289,747.14, 399,849.44 and 162,420 is: 224,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,747.14 : 399,849.44 = 162,420 : x
  2. Step 2: Convert to fraction form
    289,747.14/399,849.44 = 162,420/x
  3. Step 3: Cross multiply
    289,747.14x = 399,849.44 × 162,420
  4. Step 4: Simplify right side
    289,747.14x = 64,943,546,044.80
  5. Step 5: Solve for x
    x = 64,943,546,044.80/289,747.14
  6. Step 6: Final answer
    x = 224,138.70

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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.