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Finding the Fourth Proportional to 285,469.84, 393,990.31 and 164,587.47

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Solution

The fourth proportional to 285,469.84, 393,990.31 and 164,587.47 is: 227,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,469.84 : 393,990.31 = 164,587.47 : x
  2. Step 2: Convert to fraction form
    285,469.84/393,990.31 = 164,587.47/x
  3. Step 3: Cross multiply
    285,469.84x = 393,990.31 × 164,587.47
  4. Step 4: Simplify right side
    285,469.84x = 64,845,868,327.42
  5. Step 5: Solve for x
    x = 64,845,868,327.42/285,469.84
  6. Step 6: Final answer
    x = 227,154.88

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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.