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Finding the Fourth Proportional to 285,167.44, 393,572.48 and 164,285.20

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Solution

The fourth proportional to 285,167.44, 393,572.48 and 164,285.20 is: 226,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,167.44 : 393,572.48 = 164,285.20 : x
  2. Step 2: Convert to fraction form
    285,167.44/393,572.48 = 164,285.20/x
  3. Step 3: Cross multiply
    285,167.44x = 393,572.48 × 164,285.20
  4. Step 4: Simplify right side
    285,167.44x = 64,658,133,591.30
  5. Step 5: Solve for x
    x = 64,658,133,591.30/285,167.44
  6. Step 6: Final answer
    x = 226,737.43

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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.