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Finding the Fourth Proportional to 285,898.72, 394,540.49 and 158,574.31

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Solution

The fourth proportional to 285,898.72, 394,540.49 and 158,574.31 is: 218,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,898.72 : 394,540.49 = 158,574.31 : x
  2. Step 2: Convert to fraction form
    285,898.72/394,540.49 = 158,574.31/x
  3. Step 3: Cross multiply
    285,898.72x = 394,540.49 × 158,574.31
  4. Step 4: Simplify right side
    285,898.72x = 62,563,985,968.81
  5. Step 5: Solve for x
    x = 62,563,985,968.81/285,898.72
  6. Step 6: Final answer
    x = 218,832.69

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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.