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Finding the Fourth Proportional to 516,657.25, 774,996.56 and 188,010.80

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Solution

The fourth proportional to 516,657.25, 774,996.56 and 188,010.80 is: 282,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,657.25 : 774,996.56 = 188,010.80 : x
  2. Step 2: Convert to fraction form
    516,657.25/774,996.56 = 188,010.80/x
  3. Step 3: Cross multiply
    516,657.25x = 774,996.56 × 188,010.80
  4. Step 4: Simplify right side
    516,657.25x = 145,707,723,242.85
  5. Step 5: Solve for x
    x = 145,707,723,242.85/516,657.25
  6. Step 6: Final answer
    x = 282,020.09

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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.