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Finding the Fourth Proportional to 299,999.36, 414,103.29 and 172,725.68

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Solution

The fourth proportional to 299,999.36, 414,103.29 and 172,725.68 is: 238,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,999.36 : 414,103.29 = 172,725.68 : x
  2. Step 2: Convert to fraction form
    299,999.36/414,103.29 = 172,725.68/x
  3. Step 3: Cross multiply
    299,999.36x = 414,103.29 × 172,725.68
  4. Step 4: Simplify right side
    299,999.36x = 71,526,272,355.49
  5. Step 5: Solve for x
    x = 71,526,272,355.49/299,999.36
  6. Step 6: Final answer
    x = 238,421.42

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1.5x scale

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.