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Finding the Fourth Proportional to 419,154.90, 628,627.32 and 179,150.16

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Solution

The fourth proportional to 419,154.90, 628,627.32 and 179,150.16 is: 268,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,154.90 : 628,627.32 = 179,150.16 : x
  2. Step 2: Convert to fraction form
    419,154.90/628,627.32 = 179,150.16/x
  3. Step 3: Cross multiply
    419,154.90x = 628,627.32 × 179,150.16
  4. Step 4: Simplify right side
    419,154.90x = 112,618,684,958.37
  5. Step 5: Solve for x
    x = 112,618,684,958.37/419,154.90
  6. Step 6: Final answer
    x = 268,680.35

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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.