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Finding the Fourth Proportional to 313,218.78, 469,824.12 and 76,563.54

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Solution

The fourth proportional to 313,218.78, 469,824.12 and 76,563.54 is: 114,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,218.78 : 469,824.12 = 76,563.54 : x
  2. Step 2: Convert to fraction form
    313,218.78/469,824.12 = 76,563.54/x
  3. Step 3: Cross multiply
    313,218.78x = 469,824.12 × 76,563.54
  4. Step 4: Simplify right side
    313,218.78x = 35,971,397,804.58
  5. Step 5: Solve for x
    x = 35,971,397,804.58/313,218.78
  6. Step 6: Final answer
    x = 114,844.32

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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.