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Finding the Fourth Proportional to 318,668.96, 478,000.20 and 82,010.72

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Solution

The fourth proportional to 318,668.96, 478,000.20 and 82,010.72 is: 123,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,668.96 : 478,000.20 = 82,010.72 : x
  2. Step 2: Convert to fraction form
    318,668.96/478,000.20 = 82,010.72/x
  3. Step 3: Cross multiply
    318,668.96x = 478,000.20 × 82,010.72
  4. Step 4: Simplify right side
    318,668.96x = 39,201,140,562.14
  5. Step 5: Solve for x
    x = 39,201,140,562.14/318,668.96
  6. Step 6: Final answer
    x = 123,015.25

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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.