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Finding the Fourth Proportional to 285,978.30, 394,650.54 and 158,653.86

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Solution

The fourth proportional to 285,978.30, 394,650.54 and 158,653.86 is: 218,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.30 : 394,650.54 = 158,653.86 : x
  2. Step 2: Convert to fraction form
    285,978.30/394,650.54 = 158,653.86/x
  3. Step 3: Cross multiply
    285,978.30x = 394,650.54 × 158,653.86
  4. Step 4: Simplify right side
    285,978.30x = 62,612,831,522.08
  5. Step 5: Solve for x
    x = 62,612,831,522.08/285,978.30
  6. Step 6: Final answer
    x = 218,942.60

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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.