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Finding the Fourth Proportional to 285,222, 393,491.01 and 164,298.52

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Solution

The fourth proportional to 285,222, 393,491.01 and 164,298.52 is: 226,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,222 : 393,491.01 = 164,298.52 : x
  2. Step 2: Convert to fraction form
    285,222/393,491.01 = 164,298.52/x
  3. Step 3: Cross multiply
    285,222x = 393,491.01 × 164,298.52
  4. Step 4: Simplify right side
    285,222x = 64,649,990,576.31
  5. Step 5: Solve for x
    x = 64,649,990,576.31/285,222
  6. Step 6: Final answer
    x = 226,665.51

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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.