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Finding the Fourth Proportional to 429,299.01, 643,685.96 and 204,728.13

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Solution

The fourth proportional to 429,299.01, 643,685.96 and 204,728.13 is: 306,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,299.01 : 643,685.96 = 204,728.13 : x
  2. Step 2: Convert to fraction form
    429,299.01/643,685.96 = 204,728.13/x
  3. Step 3: Cross multiply
    429,299.01x = 643,685.96 × 204,728.13
  4. Step 4: Simplify right side
    429,299.01x = 131,780,621,874.41
  5. Step 5: Solve for x
    x = 131,780,621,874.41/429,299.01
  6. Step 6: Final answer
    x = 306,966.98

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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.