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Finding the Fourth Proportional to 270,285.78, 405,429.15 and 83,296.02

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Solution

The fourth proportional to 270,285.78, 405,429.15 and 83,296.02 is: 124,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,285.78 : 405,429.15 = 83,296.02 : x
  2. Step 2: Convert to fraction form
    270,285.78/405,429.15 = 83,296.02/x
  3. Step 3: Cross multiply
    270,285.78x = 405,429.15 × 83,296.02
  4. Step 4: Simplify right side
    270,285.78x = 33,770,634,586.98
  5. Step 5: Solve for x
    x = 33,770,634,586.98/270,285.78
  6. Step 6: Final answer
    x = 124,944.18

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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.