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Finding the Fourth Proportional to 299,463, 413,211.96 and 172,114.80

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Solution

The fourth proportional to 299,463, 413,211.96 and 172,114.80 is: 237,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,463 : 413,211.96 = 172,114.80 : x
  2. Step 2: Convert to fraction form
    299,463/413,211.96 = 172,114.80/x
  3. Step 3: Cross multiply
    299,463x = 413,211.96 × 172,114.80
  4. Step 4: Simplify right side
    299,463x = 71,119,893,853.01
  5. Step 5: Solve for x
    x = 71,119,893,853.01/299,463
  6. Step 6: Final answer
    x = 237,491.42

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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.