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Finding the Fourth Proportional to 318,408.28, 477,595.14 and 96,775

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Solution

The fourth proportional to 318,408.28, 477,595.14 and 96,775 is: 145,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,408.28 : 477,595.14 = 96,775 : x
  2. Step 2: Convert to fraction form
    318,408.28/477,595.14 = 96,775/x
  3. Step 3: Cross multiply
    318,408.28x = 477,595.14 × 96,775
  4. Step 4: Simplify right side
    318,408.28x = 46,219,269,673.50
  5. Step 5: Solve for x
    x = 46,219,269,673.50/318,408.28
  6. Step 6: Final answer
    x = 145,157.25

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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.