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Finding the Fourth Proportional to 318,828, 478,269.93 and 82,170.30

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Solution

The fourth proportional to 318,828, 478,269.93 and 82,170.30 is: 123,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,828 : 478,269.93 = 82,170.30 : x
  2. Step 2: Convert to fraction form
    318,828/478,269.93 = 82,170.30/x
  3. Step 3: Cross multiply
    318,828x = 478,269.93 × 82,170.30
  4. Step 4: Simplify right side
    318,828x = 39,299,583,629.08
  5. Step 5: Solve for x
    x = 39,299,583,629.08/318,828
  6. Step 6: Final answer
    x = 123,262.65

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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.