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Finding the Fourth Proportional to 285,136.34, 393,575.80 and 164,358.36

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Solution

The fourth proportional to 285,136.34, 393,575.80 and 164,358.36 is: 226,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,136.34 : 393,575.80 = 164,358.36 : x
  2. Step 2: Convert to fraction form
    285,136.34/393,575.80 = 164,358.36/x
  3. Step 3: Cross multiply
    285,136.34x = 393,575.80 × 164,358.36
  4. Step 4: Simplify right side
    285,136.34x = 64,687,473,023.69
  5. Step 5: Solve for x
    x = 64,687,473,023.69/285,136.34
  6. Step 6: Final answer
    x = 226,865.06

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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.