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Finding the Fourth Proportional to 312,658.89, 468,755.06 and 146,408.01

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Solution

The fourth proportional to 312,658.89, 468,755.06 and 146,408.01 is: 219,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,658.89 : 468,755.06 = 146,408.01 : x
  2. Step 2: Convert to fraction form
    312,658.89/468,755.06 = 146,408.01/x
  3. Step 3: Cross multiply
    312,658.89x = 468,755.06 × 146,408.01
  4. Step 4: Simplify right side
    312,658.89x = 68,629,494,779.99
  5. Step 5: Solve for x
    x = 68,629,494,779.99/312,658.89
  6. Step 6: Final answer
    x = 219,502.78

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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.