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Finding the Fourth Proportional to 385,105.26, 577,794.70 and 171,853.78

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Solution

The fourth proportional to 385,105.26, 577,794.70 and 171,853.78 is: 257,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,105.26 : 577,794.70 = 171,853.78 : x
  2. Step 2: Convert to fraction form
    385,105.26/577,794.70 = 171,853.78/x
  3. Step 3: Cross multiply
    385,105.26x = 577,794.70 × 171,853.78
  4. Step 4: Simplify right side
    385,105.26x = 99,296,203,258.97
  5. Step 5: Solve for x
    x = 99,296,203,258.97/385,105.26
  6. Step 6: Final answer
    x = 257,841.72

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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.