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Finding the Fourth Proportional to 320,082.56, 479,866.53 and 219,946.04

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Solution

The fourth proportional to 320,082.56, 479,866.53 and 219,946.04 is: 329,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,082.56 : 479,866.53 = 219,946.04 : x
  2. Step 2: Convert to fraction form
    320,082.56/479,866.53 = 219,946.04/x
  3. Step 3: Cross multiply
    320,082.56x = 479,866.53 × 219,946.04
  4. Step 4: Simplify right side
    320,082.56x = 105,544,743,002.04
  5. Step 5: Solve for x
    x = 105,544,743,002.04/320,082.56
  6. Step 6: Final answer
    x = 329,742.25

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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.