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Finding the Fourth Proportional to 500,910.75, 691,256.97 and 274,570.83

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Solution

The fourth proportional to 500,910.75, 691,256.97 and 274,570.83 is: 378,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,910.75 : 691,256.97 = 274,570.83 : x
  2. Step 2: Convert to fraction form
    500,910.75/691,256.97 = 274,570.83/x
  3. Step 3: Cross multiply
    500,910.75x = 691,256.97 × 274,570.83
  4. Step 4: Simplify right side
    500,910.75x = 189,798,999,996.19
  5. Step 5: Solve for x
    x = 189,798,999,996.19/500,910.75
  6. Step 6: Final answer
    x = 378,907.82

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1.5x scale

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.