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Finding the Fourth Proportional to 318,659.22, 478,013.40 and 82,004.22

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Solution

The fourth proportional to 318,659.22, 478,013.40 and 82,004.22 is: 123,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,659.22 : 478,013.40 = 82,004.22 : x
  2. Step 2: Convert to fraction form
    318,659.22/478,013.40 = 82,004.22/x
  3. Step 3: Cross multiply
    318,659.22x = 478,013.40 × 82,004.22
  4. Step 4: Simplify right side
    318,659.22x = 39,199,116,016.55
  5. Step 5: Solve for x
    x = 39,199,116,016.55/318,659.22
  6. Step 6: Final answer
    x = 123,012.65

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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.