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Finding the Fourth Proportional to 285,564.49, 394,165.64 and 164,784.78

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Solution

The fourth proportional to 285,564.49, 394,165.64 and 164,784.78 is: 227,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.49 : 394,165.64 = 164,784.78 : x
  2. Step 2: Convert to fraction form
    285,564.49/394,165.64 = 164,784.78/x
  3. Step 3: Cross multiply
    285,564.49x = 394,165.64 × 164,784.78
  4. Step 4: Simplify right side
    285,564.49x = 64,952,498,682.92
  5. Step 5: Solve for x
    x = 64,952,498,682.92/285,564.49
  6. Step 6: Final answer
    x = 227,453.00

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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.