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Finding the Fourth Proportional to 318,939.81, 478,410.39 and 299,453.64

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Solution

The fourth proportional to 318,939.81, 478,410.39 and 299,453.64 is: 449,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,939.81 : 478,410.39 = 299,453.64 : x
  2. Step 2: Convert to fraction form
    318,939.81/478,410.39 = 299,453.64/x
  3. Step 3: Cross multiply
    318,939.81x = 478,410.39 × 299,453.64
  4. Step 4: Simplify right side
    318,939.81x = 143,261,732,699.32
  5. Step 5: Solve for x
    x = 143,261,732,699.32/318,939.81
  6. Step 6: Final answer
    x = 449,181.09

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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.