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Finding the Fourth Proportional to 500,897, 691,237.86 and 274,537.64

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Solution

The fourth proportional to 500,897, 691,237.86 and 274,537.64 is: 378,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,897 : 691,237.86 = 274,537.64 : x
  2. Step 2: Convert to fraction form
    500,897/691,237.86 = 274,537.64/x
  3. Step 3: Cross multiply
    500,897x = 691,237.86 × 274,537.64
  4. Step 4: Simplify right side
    500,897x = 189,770,810,763.05
  5. Step 5: Solve for x
    x = 189,770,810,763.05/500,897
  6. Step 6: Final answer
    x = 378,861.94

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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.