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Finding the Fourth Proportional to 285,977.52, 394,649.46 and 158,653.14

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Solution

The fourth proportional to 285,977.52, 394,649.46 and 158,653.14 is: 218,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,977.52 : 394,649.46 = 158,653.14 : x
  2. Step 2: Convert to fraction form
    285,977.52/394,649.46 = 158,653.14/x
  3. Step 3: Cross multiply
    285,977.52x = 394,649.46 × 158,653.14
  4. Step 4: Simplify right side
    285,977.52x = 62,612,376,028.30
  5. Step 5: Solve for x
    x = 62,612,376,028.30/285,977.52
  6. Step 6: Final answer
    x = 218,941.60

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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.