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Finding the Fourth Proportional to 285,978.98, 394,487.01 and 178,362.18

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Solution

The fourth proportional to 285,978.98, 394,487.01 and 178,362.18 is: 246,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.98 : 394,487.01 = 178,362.18 : x
  2. Step 2: Convert to fraction form
    285,978.98/394,487.01 = 178,362.18/x
  3. Step 3: Cross multiply
    285,978.98x = 394,487.01 × 178,362.18
  4. Step 4: Simplify right side
    285,978.98x = 70,361,563,085.28
  5. Step 5: Solve for x
    x = 70,361,563,085.28/285,978.98
  6. Step 6: Final answer
    x = 246,037.54

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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.