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Finding the Fourth Proportional to 498,489.38, 747,978.05 and 308,899.03

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Solution

The fourth proportional to 498,489.38, 747,978.05 and 308,899.03 is: 463,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,489.38 : 747,978.05 = 308,899.03 : x
  2. Step 2: Convert to fraction form
    498,489.38/747,978.05 = 308,899.03/x
  3. Step 3: Cross multiply
    498,489.38x = 747,978.05 × 308,899.03
  4. Step 4: Simplify right side
    498,489.38x = 231,049,694,106.29
  5. Step 5: Solve for x
    x = 231,049,694,106.29/498,489.38
  6. Step 6: Final answer
    x = 463,499.73

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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.