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Finding the Fourth Proportional to 213,644.60, 320,466.90 and 133,928.45

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Solution

The fourth proportional to 213,644.60, 320,466.90 and 133,928.45 is: 200,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,644.60 : 320,466.90 = 133,928.45 : x
  2. Step 2: Convert to fraction form
    213,644.60/320,466.90 = 133,928.45/x
  3. Step 3: Cross multiply
    213,644.60x = 320,466.90 × 133,928.45
  4. Step 4: Simplify right side
    213,644.60x = 42,919,635,193.31
  5. Step 5: Solve for x
    x = 42,919,635,193.31/213,644.60
  6. Step 6: Final answer
    x = 200,892.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.