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Finding the Fourth Proportional to 471,815.90, 706,687.05 and 419,284.70

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Solution

The fourth proportional to 471,815.90, 706,687.05 and 419,284.70 is: 628,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,815.90 : 706,687.05 = 419,284.70 : x
  2. Step 2: Convert to fraction form
    471,815.90/706,687.05 = 419,284.70/x
  3. Step 3: Cross multiply
    471,815.90x = 706,687.05 × 419,284.70
  4. Step 4: Simplify right side
    471,815.90x = 296,303,067,753.14
  5. Step 5: Solve for x
    x = 296,303,067,753.14/471,815.90
  6. Step 6: Final answer
    x = 628,005.69

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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.