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Finding the Fourth Proportional to 382,309.54, 527,527.29 and 221,151.94

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Solution

The fourth proportional to 382,309.54, 527,527.29 and 221,151.94 is: 305,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,309.54 : 527,527.29 = 221,151.94 : x
  2. Step 2: Convert to fraction form
    382,309.54/527,527.29 = 221,151.94/x
  3. Step 3: Cross multiply
    382,309.54x = 527,527.29 × 221,151.94
  4. Step 4: Simplify right side
    382,309.54x = 116,663,683,586.44
  5. Step 5: Solve for x
    x = 116,663,683,586.44/382,309.54
  6. Step 6: Final answer
    x = 305,155.04

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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.