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Finding the Fourth Proportional to 299,995.85, 414,098.46 and 172,722.17

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Solution

The fourth proportional to 299,995.85, 414,098.46 and 172,722.17 is: 238,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,995.85 : 414,098.46 = 172,722.17 : x
  2. Step 2: Convert to fraction form
    299,995.85/414,098.46 = 172,722.17/x
  3. Step 3: Cross multiply
    299,995.85x = 414,098.46 × 172,722.17
  4. Step 4: Simplify right side
    299,995.85x = 71,523,985,640.10
  5. Step 5: Solve for x
    x = 71,523,985,640.10/299,995.85
  6. Step 6: Final answer
    x = 238,416.58

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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.