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Finding the Fourth Proportional to 419,172.63, 628,752.72 and 103,629.45

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Solution

The fourth proportional to 419,172.63, 628,752.72 and 103,629.45 is: 155,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,172.63 : 628,752.72 = 103,629.45 : x
  2. Step 2: Convert to fraction form
    419,172.63/628,752.72 = 103,629.45/x
  3. Step 3: Cross multiply
    419,172.63x = 628,752.72 × 103,629.45
  4. Step 4: Simplify right side
    419,172.63x = 65,157,298,559.60
  5. Step 5: Solve for x
    x = 65,157,298,559.60/419,172.63
  6. Step 6: Final answer
    x = 155,442.64

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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.