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Finding the Fourth Proportional to 499,474, 749,211.72 and 203,986

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Solution

The fourth proportional to 499,474, 749,211.72 and 203,986 is: 305,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,474 : 749,211.72 = 203,986 : x
  2. Step 2: Convert to fraction form
    499,474/749,211.72 = 203,986/x
  3. Step 3: Cross multiply
    499,474x = 749,211.72 × 203,986
  4. Step 4: Simplify right side
    499,474x = 152,828,701,915.92
  5. Step 5: Solve for x
    x = 152,828,701,915.92/499,474
  6. Step 6: Final answer
    x = 305,979.29

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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.