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Finding the Fourth Proportional to 401,198.64, 553,633.56 and 231,422.64

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Solution

The fourth proportional to 401,198.64, 553,633.56 and 231,422.64 is: 319,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,198.64 : 553,633.56 = 231,422.64 : x
  2. Step 2: Convert to fraction form
    401,198.64/553,633.56 = 231,422.64/x
  3. Step 3: Cross multiply
    401,198.64x = 553,633.56 × 231,422.64
  4. Step 4: Simplify right side
    401,198.64x = 128,123,340,047.80
  5. Step 5: Solve for x
    x = 128,123,340,047.80/401,198.64
  6. Step 6: Final answer
    x = 319,351.38

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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.