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Finding the Fourth Proportional to 285,060.65, 393,425.43 and 164,178.41

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Solution

The fourth proportional to 285,060.65, 393,425.43 and 164,178.41 is: 226,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,060.65 : 393,425.43 = 164,178.41 : x
  2. Step 2: Convert to fraction form
    285,060.65/393,425.43 = 164,178.41/x
  3. Step 3: Cross multiply
    285,060.65x = 393,425.43 × 164,178.41
  4. Step 4: Simplify right side
    285,060.65x = 64,591,961,550.97
  5. Step 5: Solve for x
    x = 64,591,961,550.97/285,060.65
  6. Step 6: Final answer
    x = 226,590.24

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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.