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Finding the Fourth Proportional to 519,272.80, 778,982.10 and 164,249.80

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Solution

The fourth proportional to 519,272.80, 778,982.10 and 164,249.80 is: 246,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,272.80 : 778,982.10 = 164,249.80 : x
  2. Step 2: Convert to fraction form
    519,272.80/778,982.10 = 164,249.80/x
  3. Step 3: Cross multiply
    519,272.80x = 778,982.10 × 164,249.80
  4. Step 4: Simplify right side
    519,272.80x = 127,947,654,128.58
  5. Step 5: Solve for x
    x = 127,947,654,128.58/519,272.80
  6. Step 6: Final answer
    x = 246,397.76

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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.