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Finding the Fourth Proportional to 285,470.84, 393,991.69 and 164,588.47

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Solution

The fourth proportional to 285,470.84, 393,991.69 and 164,588.47 is: 227,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,470.84 : 393,991.69 = 164,588.47 : x
  2. Step 2: Convert to fraction form
    285,470.84/393,991.69 = 164,588.47/x
  3. Step 3: Cross multiply
    285,470.84x = 393,991.69 × 164,588.47
  4. Step 4: Simplify right side
    285,470.84x = 64,846,489,449.81
  5. Step 5: Solve for x
    x = 64,846,489,449.81/285,470.84
  6. Step 6: Final answer
    x = 227,156.26

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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.