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Finding the Fourth Proportional to 385,100.78, 577,468.89 and 225,222.98

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Solution

The fourth proportional to 385,100.78, 577,468.89 and 225,222.98 is: 337,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,100.78 : 577,468.89 = 225,222.98 : x
  2. Step 2: Convert to fraction form
    385,100.78/577,468.89 = 225,222.98/x
  3. Step 3: Cross multiply
    385,100.78x = 577,468.89 × 225,222.98
  4. Step 4: Simplify right side
    385,100.78x = 130,059,261,375.75
  5. Step 5: Solve for x
    x = 130,059,261,375.75/385,100.78
  6. Step 6: Final answer
    x = 337,727.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.