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Finding the Fourth Proportional to 402,022.72, 603,121.52 and 117,736.48

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Solution

The fourth proportional to 402,022.72, 603,121.52 and 117,736.48 is: 176,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,022.72 : 603,121.52 = 117,736.48 : x
  2. Step 2: Convert to fraction form
    402,022.72/603,121.52 = 117,736.48/x
  3. Step 3: Cross multiply
    402,022.72x = 603,121.52 × 117,736.48
  4. Step 4: Simplify right side
    402,022.72x = 71,009,404,777.05
  5. Step 5: Solve for x
    x = 71,009,404,777.05/402,022.72
  6. Step 6: Final answer
    x = 176,630.33

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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.