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Finding the Fourth Proportional to 285,490.72, 394,019.12 and 164,608.36

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Solution

The fourth proportional to 285,490.72, 394,019.12 and 164,608.36 is: 227,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,490.72 : 394,019.12 = 164,608.36 : x
  2. Step 2: Convert to fraction form
    285,490.72/394,019.12 = 164,608.36/x
  3. Step 3: Cross multiply
    285,490.72x = 394,019.12 × 164,608.36
  4. Step 4: Simplify right side
    285,490.72x = 64,858,841,151.84
  5. Step 5: Solve for x
    x = 64,858,841,151.84/285,490.72
  6. Step 6: Final answer
    x = 227,183.71

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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.