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Finding the Fourth Proportional to 296,251.36, 408,401.60 and 211,220.80

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Solution

The fourth proportional to 296,251.36, 408,401.60 and 211,220.80 is: 291,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,251.36 : 408,401.60 = 211,220.80 : x
  2. Step 2: Convert to fraction form
    296,251.36/408,401.60 = 211,220.80/x
  3. Step 3: Cross multiply
    296,251.36x = 408,401.60 × 211,220.80
  4. Step 4: Simplify right side
    296,251.36x = 86,262,912,673.28
  5. Step 5: Solve for x
    x = 86,262,912,673.28/296,251.36
  6. Step 6: Final answer
    x = 291,181.49

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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.