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Finding the Fourth Proportional to 521,851.60, 782,826.54 and 166,781.26

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Solution

The fourth proportional to 521,851.60, 782,826.54 and 166,781.26 is: 250,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,851.60 : 782,826.54 = 166,781.26 : x
  2. Step 2: Convert to fraction form
    521,851.60/782,826.54 = 166,781.26/x
  3. Step 3: Cross multiply
    521,851.60x = 782,826.54 × 166,781.26
  4. Step 4: Simplify right side
    521,851.60x = 130,560,796,702.64
  5. Step 5: Solve for x
    x = 130,560,796,702.64/521,851.60
  6. Step 6: Final answer
    x = 250,187.59

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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.