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Finding the Fourth Proportional to 392,460.89, 541,601.70 and 220,416.09

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Solution

The fourth proportional to 392,460.89, 541,601.70 and 220,416.09 is: 304,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,460.89 : 541,601.70 = 220,416.09 : x
  2. Step 2: Convert to fraction form
    392,460.89/541,601.70 = 220,416.09/x
  3. Step 3: Cross multiply
    392,460.89x = 541,601.70 × 220,416.09
  4. Step 4: Simplify right side
    392,460.89x = 119,377,729,051.35
  5. Step 5: Solve for x
    x = 119,377,729,051.35/392,460.89
  6. Step 6: Final answer
    x = 304,177.39

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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.