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Finding the Fourth Proportional to 285,355.40, 393,794.53 and 164,494.49

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Solution

The fourth proportional to 285,355.40, 393,794.53 and 164,494.49 is: 227,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,355.40 : 393,794.53 = 164,494.49 : x
  2. Step 2: Convert to fraction form
    285,355.40/393,794.53 = 164,494.49/x
  3. Step 3: Cross multiply
    285,355.40x = 393,794.53 × 164,494.49
  4. Step 4: Simplify right side
    285,355.40x = 64,777,027,996.93
  5. Step 5: Solve for x
    x = 64,777,027,996.93/285,355.40
  6. Step 6: Final answer
    x = 227,004.74

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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.