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Finding the Fourth Proportional to 285,861.72, 394,490.34 and 158,549.16

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Solution

The fourth proportional to 285,861.72, 394,490.34 and 158,549.16 is: 218,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,861.72 : 394,490.34 = 158,549.16 : x
  2. Step 2: Convert to fraction form
    285,861.72/394,490.34 = 158,549.16/x
  3. Step 3: Cross multiply
    285,861.72x = 394,490.34 × 158,549.16
  4. Step 4: Simplify right side
    285,861.72x = 62,546,112,035.11
  5. Step 5: Solve for x
    x = 62,546,112,035.11/285,861.72
  6. Step 6: Final answer
    x = 218,798.49

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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.