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Finding the Fourth Proportional to 429,487.88, 643,947.48 and 204,882.98

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Solution

The fourth proportional to 429,487.88, 643,947.48 and 204,882.98 is: 307,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,487.88 : 643,947.48 = 204,882.98 : x
  2. Step 2: Convert to fraction form
    429,487.88/643,947.48 = 204,882.98/x
  3. Step 3: Cross multiply
    429,487.88x = 643,947.48 × 204,882.98
  4. Step 4: Simplify right side
    429,487.88x = 131,933,874,869.92
  5. Step 5: Solve for x
    x = 131,933,874,869.92/429,487.88
  6. Step 6: Final answer
    x = 307,188.82

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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.