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Finding the Fourth Proportional to 318,408.14, 477,690.24 and 261,578.10

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Solution

The fourth proportional to 318,408.14, 477,690.24 and 261,578.10 is: 392,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,408.14 : 477,690.24 = 261,578.10 : x
  2. Step 2: Convert to fraction form
    318,408.14/477,690.24 = 261,578.10/x
  3. Step 3: Cross multiply
    318,408.14x = 477,690.24 × 261,578.10
  4. Step 4: Simplify right side
    318,408.14x = 124,953,305,367.74
  5. Step 5: Solve for x
    x = 124,953,305,367.74/318,408.14
  6. Step 6: Final answer
    x = 392,431.25

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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.