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Finding the Fourth Proportional to 285,384.40, 393,829.49 and 164,525.11

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Solution

The fourth proportional to 285,384.40, 393,829.49 and 164,525.11 is: 227,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,384.40 : 393,829.49 = 164,525.11 : x
  2. Step 2: Convert to fraction form
    285,384.40/393,829.49 = 164,525.11/x
  3. Step 3: Cross multiply
    285,384.40x = 393,829.49 × 164,525.11
  4. Step 4: Simplify right side
    285,384.40x = 64,794,840,163.49
  5. Step 5: Solve for x
    x = 64,794,840,163.49/285,384.40
  6. Step 6: Final answer
    x = 227,044.09

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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.