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Finding the Fourth Proportional to 285,914, 394,561.64 and 166,705.04

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Solution

The fourth proportional to 285,914, 394,561.64 and 166,705.04 is: 230,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,914 : 394,561.64 = 166,705.04 : x
  2. Step 2: Convert to fraction form
    285,914/394,561.64 = 166,705.04/x
  3. Step 3: Cross multiply
    285,914x = 394,561.64 × 166,705.04
  4. Step 4: Simplify right side
    285,914x = 65,775,413,978.67
  5. Step 5: Solve for x
    x = 65,775,413,978.67/285,914
  6. Step 6: Final answer
    x = 230,053.14

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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.