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Finding the Fourth Proportional to 299,771.12, 413,685.22 and 163,805.07

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Solution

The fourth proportional to 299,771.12, 413,685.22 and 163,805.07 is: 226,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,771.12 : 413,685.22 = 163,805.07 : x
  2. Step 2: Convert to fraction form
    299,771.12/413,685.22 = 163,805.07/x
  3. Step 3: Cross multiply
    299,771.12x = 413,685.22 × 163,805.07
  4. Step 4: Simplify right side
    299,771.12x = 67,763,735,542.03
  5. Step 5: Solve for x
    x = 67,763,735,542.03/299,771.12
  6. Step 6: Final answer
    x = 226,051.58

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1.5x scale

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.