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Finding the Fourth Proportional to 443,123.10, 665,012.70 and 293,313.60

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Solution

The fourth proportional to 443,123.10, 665,012.70 and 293,313.60 is: 440,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,123.10 : 665,012.70 = 293,313.60 : x
  2. Step 2: Convert to fraction form
    443,123.10/665,012.70 = 293,313.60/x
  3. Step 3: Cross multiply
    443,123.10x = 665,012.70 × 293,313.60
  4. Step 4: Simplify right side
    443,123.10x = 195,057,269,082.72
  5. Step 5: Solve for x
    x = 195,057,269,082.72/443,123.10
  6. Step 6: Final answer
    x = 440,187.54

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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.