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Finding the Fourth Proportional to 384,920, 531,186.36 and 221,608.48

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Solution

The fourth proportional to 384,920, 531,186.36 and 221,608.48 is: 305,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,920 : 531,186.36 = 221,608.48 : x
  2. Step 2: Convert to fraction form
    384,920/531,186.36 = 221,608.48/x
  3. Step 3: Cross multiply
    384,920x = 531,186.36 × 221,608.48
  4. Step 4: Simplify right side
    384,920x = 117,715,401,836.33
  5. Step 5: Solve for x
    x = 117,715,401,836.33/384,920
  6. Step 6: Final answer
    x = 305,817.84

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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.