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Finding the Fourth Proportional to 285,881.99, 394,520.22 and 158,565.78

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Solution

The fourth proportional to 285,881.99, 394,520.22 and 158,565.78 is: 218,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,881.99 : 394,520.22 = 158,565.78 : x
  2. Step 2: Convert to fraction form
    285,881.99/394,520.22 = 158,565.78/x
  3. Step 3: Cross multiply
    285,881.99x = 394,520.22 × 158,565.78
  4. Step 4: Simplify right side
    285,881.99x = 62,557,406,410.07
  5. Step 5: Solve for x
    x = 62,557,406,410.07/285,881.99
  6. Step 6: Final answer
    x = 218,822.48

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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.