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Finding the Fourth Proportional to 285,172.50, 393,625.65 and 164,394.52

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Solution

The fourth proportional to 285,172.50, 393,625.65 and 164,394.52 is: 226,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,172.50 : 393,625.65 = 164,394.52 : x
  2. Step 2: Convert to fraction form
    285,172.50/393,625.65 = 164,394.52/x
  3. Step 3: Cross multiply
    285,172.50x = 393,625.65 × 164,394.52
  4. Step 4: Simplify right side
    285,172.50x = 64,709,899,791.44
  5. Step 5: Solve for x
    x = 64,709,899,791.44/285,172.50
  6. Step 6: Final answer
    x = 226,914.94

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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.