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Finding the Fourth Proportional to 285,757.26, 394,367.31 and 158,457.66

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Solution

The fourth proportional to 285,757.26, 394,367.31 and 158,457.66 is: 218,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,757.26 : 394,367.31 = 158,457.66 : x
  2. Step 2: Convert to fraction form
    285,757.26/394,367.31 = 158,457.66/x
  3. Step 3: Cross multiply
    285,757.26x = 394,367.31 × 158,457.66
  4. Step 4: Simplify right side
    285,757.26x = 62,490,521,123.09
  5. Step 5: Solve for x
    x = 62,490,521,123.09/285,757.26
  6. Step 6: Final answer
    x = 218,683.93

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1.5x scale

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.