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Finding the Fourth Proportional to 499,861.60, 749,136.30 and 200,096.80

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Solution

The fourth proportional to 499,861.60, 749,136.30 and 200,096.80 is: 299,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,861.60 : 749,136.30 = 200,096.80 : x
  2. Step 2: Convert to fraction form
    499,861.60/749,136.30 = 200,096.80/x
  3. Step 3: Cross multiply
    499,861.60x = 749,136.30 × 200,096.80
  4. Step 4: Simplify right side
    499,861.60x = 149,899,776,393.84
  5. Step 5: Solve for x
    x = 149,899,776,393.84/499,861.60
  6. Step 6: Final answer
    x = 299,882.56

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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.