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Finding the Fourth Proportional to 285,727.30, 394,313.26 and 158,395.30

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Solution

The fourth proportional to 285,727.30, 394,313.26 and 158,395.30 is: 218,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,727.30 : 394,313.26 = 158,395.30 : x
  2. Step 2: Convert to fraction form
    285,727.30/394,313.26 = 158,395.30/x
  3. Step 3: Cross multiply
    285,727.30x = 394,313.26 × 158,395.30
  4. Step 4: Simplify right side
    285,727.30x = 62,457,367,111.68
  5. Step 5: Solve for x
    x = 62,457,367,111.68/285,727.30
  6. Step 6: Final answer
    x = 218,590.83

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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.