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Finding the Fourth Proportional to 299,861.40, 413,824.14 and 172,556.04

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Solution

The fourth proportional to 299,861.40, 413,824.14 and 172,556.04 is: 238,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,861.40 : 413,824.14 = 172,556.04 : x
  2. Step 2: Convert to fraction form
    299,861.40/413,824.14 = 172,556.04/x
  3. Step 3: Cross multiply
    299,861.40x = 413,824.14 × 172,556.04
  4. Step 4: Simplify right side
    299,861.40x = 71,407,854,854.81
  5. Step 5: Solve for x
    x = 71,407,854,854.81/299,861.40
  6. Step 6: Final answer
    x = 238,136.20

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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.