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Finding the Fourth Proportional to 500,456.48, 690,619.92 and 274,100

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Solution

The fourth proportional to 500,456.48, 690,619.92 and 274,100 is: 378,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,456.48 : 690,619.92 = 274,100 : x
  2. Step 2: Convert to fraction form
    500,456.48/690,619.92 = 274,100/x
  3. Step 3: Cross multiply
    500,456.48x = 690,619.92 × 274,100
  4. Step 4: Simplify right side
    500,456.48x = 189,298,920,072
  5. Step 5: Solve for x
    x = 189,298,920,072/500,456.48
  6. Step 6: Final answer
    x = 378,252.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.