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Finding the Fourth Proportional to 429,520.81, 643,996.83 and 204,915.91

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Solution

The fourth proportional to 429,520.81, 643,996.83 and 204,915.91 is: 307,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,520.81 : 643,996.83 = 204,915.91 : x
  2. Step 2: Convert to fraction form
    429,520.81/643,996.83 = 204,915.91/x
  3. Step 3: Cross multiply
    429,520.81x = 643,996.83 × 204,915.91
  4. Step 4: Simplify right side
    429,520.81x = 131,965,193,236.58
  5. Step 5: Solve for x
    x = 131,965,193,236.58/429,520.81
  6. Step 6: Final answer
    x = 307,238.19

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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.