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Finding the Fourth Proportional to 471,816.40, 706,687.80 and 419,285.20

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Solution

The fourth proportional to 471,816.40, 706,687.80 and 419,285.20 is: 628,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,816.40 : 706,687.80 = 419,285.20 : x
  2. Step 2: Convert to fraction form
    471,816.40/706,687.80 = 419,285.20/x
  3. Step 3: Cross multiply
    471,816.40x = 706,687.80 × 419,285.20
  4. Step 4: Simplify right side
    471,816.40x = 296,303,735,560.56
  5. Step 5: Solve for x
    x = 296,303,735,560.56/471,816.40
  6. Step 6: Final answer
    x = 628,006.44

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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.