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Finding the Fourth Proportional to 379,912.96, 569,639.20 and 261,454.16

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Solution

The fourth proportional to 379,912.96, 569,639.20 and 261,454.16 is: 392,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,912.96 : 569,639.20 = 261,454.16 : x
  2. Step 2: Convert to fraction form
    379,912.96/569,639.20 = 261,454.16/x
  3. Step 3: Cross multiply
    379,912.96x = 569,639.20 × 261,454.16
  4. Step 4: Simplify right side
    379,912.96x = 148,934,538,539.07
  5. Step 5: Solve for x
    x = 148,934,538,539.07/379,912.96
  6. Step 6: Final answer
    x = 392,022.79

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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.