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Finding the Fourth Proportional to 659,382.56, 989,196.84 and 299,578.64

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Solution

The fourth proportional to 659,382.56, 989,196.84 and 299,578.64 is: 449,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,382.56 : 989,196.84 = 299,578.64 : x
  2. Step 2: Convert to fraction form
    659,382.56/989,196.84 = 299,578.64/x
  3. Step 3: Cross multiply
    659,382.56x = 989,196.84 × 299,578.64
  4. Step 4: Simplify right side
    659,382.56x = 296,342,244,019.50
  5. Step 5: Solve for x
    x = 296,342,244,019.50/659,382.56
  6. Step 6: Final answer
    x = 449,423.84

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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.