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Finding the Fourth Proportional to 299,937.89, 413,914.66 and 172,613.58

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Solution

The fourth proportional to 299,937.89, 413,914.66 and 172,613.58 is: 238,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,937.89 : 413,914.66 = 172,613.58 : x
  2. Step 2: Convert to fraction form
    299,937.89/413,914.66 = 172,613.58/x
  3. Step 3: Cross multiply
    299,937.89x = 413,914.66 × 172,613.58
  4. Step 4: Simplify right side
    299,937.89x = 71,447,291,621.64
  5. Step 5: Solve for x
    x = 71,447,291,621.64/299,937.89
  6. Step 6: Final answer
    x = 238,206.96

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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.