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Finding the Fourth Proportional to 285,223.52, 393,617.64 and 164,355.20

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Solution

The fourth proportional to 285,223.52, 393,617.64 and 164,355.20 is: 226,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223.52 : 393,617.64 = 164,355.20 : x
  2. Step 2: Convert to fraction form
    285,223.52/393,617.64 = 164,355.20/x
  3. Step 3: Cross multiply
    285,223.52x = 393,617.64 × 164,355.20
  4. Step 4: Simplify right side
    285,223.52x = 64,693,105,945.73
  5. Step 5: Solve for x
    x = 64,693,105,945.73/285,223.52
  6. Step 6: Final answer
    x = 226,815.47

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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.