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Finding the Fourth Proportional to 419,783.20, 629,617.20 and 139,271.20

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Solution

The fourth proportional to 419,783.20, 629,617.20 and 139,271.20 is: 208,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,783.20 : 629,617.20 = 139,271.20 : x
  2. Step 2: Convert to fraction form
    419,783.20/629,617.20 = 139,271.20/x
  3. Step 3: Cross multiply
    419,783.20x = 629,617.20 × 139,271.20
  4. Step 4: Simplify right side
    419,783.20x = 87,687,542,984.64
  5. Step 5: Solve for x
    x = 87,687,542,984.64/419,783.20
  6. Step 6: Final answer
    x = 208,887.69

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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.