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Finding the Fourth Proportional to 429,507.72, 643,977.23 and 204,902.82

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Solution

The fourth proportional to 429,507.72, 643,977.23 and 204,902.82 is: 307,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,507.72 : 643,977.23 = 204,902.82 : x
  2. Step 2: Convert to fraction form
    429,507.72/643,977.23 = 204,902.82/x
  3. Step 3: Cross multiply
    429,507.72x = 643,977.23 × 204,902.82
  4. Step 4: Simplify right side
    429,507.72x = 131,952,749,418.28
  5. Step 5: Solve for x
    x = 131,952,749,418.28/429,507.72
  6. Step 6: Final answer
    x = 307,218.57

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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.