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Finding the Fourth Proportional to 318,529, 477,879.90 and 96,913

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Solution

The fourth proportional to 318,529, 477,879.90 and 96,913 is: 145,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,529 : 477,879.90 = 96,913 : x
  2. Step 2: Convert to fraction form
    318,529/477,879.90 = 96,913/x
  3. Step 3: Cross multiply
    318,529x = 477,879.90 × 96,913
  4. Step 4: Simplify right side
    318,529x = 46,312,774,748.70
  5. Step 5: Solve for x
    x = 46,312,774,748.70/318,529
  6. Step 6: Final answer
    x = 145,395.79

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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.