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Finding the Fourth Proportional to 499,912.44, 689,892.72 and 306,316.80

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Solution

The fourth proportional to 499,912.44, 689,892.72 and 306,316.80 is: 422,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,912.44 : 689,892.72 = 306,316.80 : x
  2. Step 2: Convert to fraction form
    499,912.44/689,892.72 = 306,316.80/x
  3. Step 3: Cross multiply
    499,912.44x = 689,892.72 × 306,316.80
  4. Step 4: Simplify right side
    499,912.44x = 211,325,730,333.70
  5. Step 5: Solve for x
    x = 211,325,730,333.70/499,912.44
  6. Step 6: Final answer
    x = 422,725.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.