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Finding the Fourth Proportional to 285,147.90, 393,522.36 and 164,287

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Solution

The fourth proportional to 285,147.90, 393,522.36 and 164,287 is: 226,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,147.90 : 393,522.36 = 164,287 : x
  2. Step 2: Convert to fraction form
    285,147.90/393,522.36 = 164,287/x
  3. Step 3: Cross multiply
    285,147.90x = 393,522.36 × 164,287
  4. Step 4: Simplify right side
    285,147.90x = 64,650,607,957.32
  5. Step 5: Solve for x
    x = 64,650,607,957.32/285,147.90
  6. Step 6: Final answer
    x = 226,726.58

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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.