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Finding the Fourth Proportional to 285,950.72, 394,659.30 and 158,667.32

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Solution

The fourth proportional to 285,950.72, 394,659.30 and 158,667.32 is: 218,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,950.72 : 394,659.30 = 158,667.32 : x
  2. Step 2: Convert to fraction form
    285,950.72/394,659.30 = 158,667.32/x
  3. Step 3: Cross multiply
    285,950.72x = 394,659.30 × 158,667.32
  4. Step 4: Simplify right side
    285,950.72x = 62,619,535,025.73
  5. Step 5: Solve for x
    x = 62,619,535,025.73/285,950.72
  6. Step 6: Final answer
    x = 218,987.15

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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.