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Finding the Fourth Proportional to 315,825.77, 435,884.01 and 201,067.75

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Solution

The fourth proportional to 315,825.77, 435,884.01 and 201,067.75 is: 277,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,825.77 : 435,884.01 = 201,067.75 : x
  2. Step 2: Convert to fraction form
    315,825.77/435,884.01 = 201,067.75/x
  3. Step 3: Cross multiply
    315,825.77x = 435,884.01 × 201,067.75
  4. Step 4: Simplify right side
    315,825.77x = 87,642,217,508.03
  5. Step 5: Solve for x
    x = 87,642,217,508.03/315,825.77
  6. Step 6: Final answer
    x = 277,501.80

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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.