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Finding the Fourth Proportional to 465,717.06, 642,759.17 and 284,533.70

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Solution

The fourth proportional to 465,717.06, 642,759.17 and 284,533.70 is: 392,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,717.06 : 642,759.17 = 284,533.70 : x
  2. Step 2: Convert to fraction form
    465,717.06/642,759.17 = 284,533.70/x
  3. Step 3: Cross multiply
    465,717.06x = 642,759.17 × 284,533.70
  4. Step 4: Simplify right side
    465,717.06x = 182,886,640,212.57
  5. Step 5: Solve for x
    x = 182,886,640,212.57/465,717.06
  6. Step 6: Final answer
    x = 392,699.04

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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.