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Finding the Fourth Proportional to 299,997.86, 414,101.22 and 172,724.18

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Solution

The fourth proportional to 299,997.86, 414,101.22 and 172,724.18 is: 238,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,997.86 : 414,101.22 = 172,724.18 : x
  2. Step 2: Convert to fraction form
    299,997.86/414,101.22 = 172,724.18/x
  3. Step 3: Cross multiply
    299,997.86x = 414,101.22 × 172,724.18
  4. Step 4: Simplify right side
    299,997.86x = 71,525,293,661.50
  5. Step 5: Solve for x
    x = 71,525,293,661.50/299,997.86
  6. Step 6: Final answer
    x = 238,419.35

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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.