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Finding the Fourth Proportional to 500,784.06, 691,082.70 and 271,343.84

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Solution

The fourth proportional to 500,784.06, 691,082.70 and 271,343.84 is: 374,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,784.06 : 691,082.70 = 271,343.84 : x
  2. Step 2: Convert to fraction form
    500,784.06/691,082.70 = 271,343.84/x
  3. Step 3: Cross multiply
    500,784.06x = 691,082.70 × 271,343.84
  4. Step 4: Simplify right side
    500,784.06x = 187,521,029,102.62
  5. Step 5: Solve for x
    x = 187,521,029,102.62/500,784.06
  6. Step 6: Final answer
    x = 374,454.87

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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.