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Finding the Fourth Proportional to 419,038.64, 628,241.16 and 208,825.04

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Solution

The fourth proportional to 419,038.64, 628,241.16 and 208,825.04 is: 313,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,038.64 : 628,241.16 = 208,825.04 : x
  2. Step 2: Convert to fraction form
    419,038.64/628,241.16 = 208,825.04/x
  3. Step 3: Cross multiply
    419,038.64x = 628,241.16 × 208,825.04
  4. Step 4: Simplify right side
    419,038.64x = 131,192,485,366.65
  5. Step 5: Solve for x
    x = 131,192,485,366.65/419,038.64
  6. Step 6: Final answer
    x = 313,079.68

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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.