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Finding the Fourth Proportional to 429,198.88, 643,913.13 and 148,716.13

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Solution

The fourth proportional to 429,198.88, 643,913.13 and 148,716.13 is: 223,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,198.88 : 643,913.13 = 148,716.13 : x
  2. Step 2: Convert to fraction form
    429,198.88/643,913.13 = 148,716.13/x
  3. Step 3: Cross multiply
    429,198.88x = 643,913.13 × 148,716.13
  4. Step 4: Simplify right side
    429,198.88x = 95,760,265,530.22
  5. Step 5: Solve for x
    x = 95,760,265,530.22/429,198.88
  6. Step 6: Final answer
    x = 223,113.97

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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.