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Finding the Fourth Proportional to 429,067.53, 643,352.05 and 162,682.73

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Solution

The fourth proportional to 429,067.53, 643,352.05 and 162,682.73 is: 243,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,067.53 : 643,352.05 = 162,682.73 : x
  2. Step 2: Convert to fraction form
    429,067.53/643,352.05 = 162,682.73/x
  3. Step 3: Cross multiply
    429,067.53x = 643,352.05 × 162,682.73
  4. Step 4: Simplify right side
    429,067.53x = 104,662,264,221.63
  5. Step 5: Solve for x
    x = 104,662,264,221.63/429,067.53
  6. Step 6: Final answer
    x = 243,929.59

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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.