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Finding the Fourth Proportional to 654,967.72, 982,768.38 and 318,295.72

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Solution

The fourth proportional to 654,967.72, 982,768.38 and 318,295.72 is: 477,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,967.72 : 982,768.38 = 318,295.72 : x
  2. Step 2: Convert to fraction form
    654,967.72/982,768.38 = 318,295.72/x
  3. Step 3: Cross multiply
    654,967.72x = 982,768.38 × 318,295.72
  4. Step 4: Simplify right side
    654,967.72x = 312,810,969,105.33
  5. Step 5: Solve for x
    x = 312,810,969,105.33/654,967.72
  6. Step 6: Final answer
    x = 477,597.54

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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.