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Finding the Fourth Proportional to 402,630.09, 603,502.26 and 165,843.60

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Solution

The fourth proportional to 402,630.09, 603,502.26 and 165,843.60 is: 248,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,630.09 : 603,502.26 = 165,843.60 : x
  2. Step 2: Convert to fraction form
    402,630.09/603,502.26 = 165,843.60/x
  3. Step 3: Cross multiply
    402,630.09x = 603,502.26 × 165,843.60
  4. Step 4: Simplify right side
    402,630.09x = 100,086,987,406.54
  5. Step 5: Solve for x
    x = 100,086,987,406.54/402,630.09
  6. Step 6: Final answer
    x = 248,582.98

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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.