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Finding the Fourth Proportional to 285,382.94, 393,827.46 and 164,523.65

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Solution

The fourth proportional to 285,382.94, 393,827.46 and 164,523.65 is: 227,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,382.94 : 393,827.46 = 164,523.65 : x
  2. Step 2: Convert to fraction form
    285,382.94/393,827.46 = 164,523.65/x
  3. Step 3: Cross multiply
    285,382.94x = 393,827.46 × 164,523.65
  4. Step 4: Simplify right side
    285,382.94x = 64,793,929,220.29
  5. Step 5: Solve for x
    x = 64,793,929,220.29/285,382.94
  6. Step 6: Final answer
    x = 227,042.06

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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.