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Finding the Fourth Proportional to 456,140.66, 629,448.70 and 252,179.68

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Solution

The fourth proportional to 456,140.66, 629,448.70 and 252,179.68 is: 347,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,140.66 : 629,448.70 = 252,179.68 : x
  2. Step 2: Convert to fraction form
    456,140.66/629,448.70 = 252,179.68/x
  3. Step 3: Cross multiply
    456,140.66x = 629,448.70 × 252,179.68
  4. Step 4: Simplify right side
    456,140.66x = 158,734,171,742.42
  5. Step 5: Solve for x
    x = 158,734,171,742.42/456,140.66
  6. Step 6: Final answer
    x = 347,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.