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Finding the Fourth Proportional to 286,076.28, 394,773.30 and 158,744.28

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Solution

The fourth proportional to 286,076.28, 394,773.30 and 158,744.28 is: 219,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,076.28 : 394,773.30 = 158,744.28 : x
  2. Step 2: Convert to fraction form
    286,076.28/394,773.30 = 158,744.28/x
  3. Step 3: Cross multiply
    286,076.28x = 394,773.30 × 158,744.28
  4. Step 4: Simplify right side
    286,076.28x = 62,668,003,271.72
  5. Step 5: Solve for x
    x = 62,668,003,271.72/286,076.28
  6. Step 6: Final answer
    x = 219,060.47

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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.