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Finding the Fourth Proportional to 285,889.91, 394,575.32 and 158,606.51

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Solution

The fourth proportional to 285,889.91, 394,575.32 and 158,606.51 is: 218,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,889.91 : 394,575.32 = 158,606.51 : x
  2. Step 2: Convert to fraction form
    285,889.91/394,575.32 = 158,606.51/x
  3. Step 3: Cross multiply
    285,889.91x = 394,575.32 × 158,606.51
  4. Step 4: Simplify right side
    285,889.91x = 62,582,213,644.30
  5. Step 5: Solve for x
    x = 62,582,213,644.30/285,889.91
  6. Step 6: Final answer
    x = 218,903.19

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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.