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Finding the Fourth Proportional to 285,617.68, 394,149.94 and 156,563.33

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Solution

The fourth proportional to 285,617.68, 394,149.94 and 156,563.33 is: 216,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,617.68 : 394,149.94 = 156,563.33 : x
  2. Step 2: Convert to fraction form
    285,617.68/394,149.94 = 156,563.33/x
  3. Step 3: Cross multiply
    285,617.68x = 394,149.94 × 156,563.33
  4. Step 4: Simplify right side
    285,617.68x = 61,709,424,763.54
  5. Step 5: Solve for x
    x = 61,709,424,763.54/285,617.68
  6. Step 6: Final answer
    x = 216,056.04

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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.