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Finding the Fourth Proportional to 471,808.90, 706,676.55 and 419,277.70

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Solution

The fourth proportional to 471,808.90, 706,676.55 and 419,277.70 is: 627,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,808.90 : 706,676.55 = 419,277.70 : x
  2. Step 2: Convert to fraction form
    471,808.90/706,676.55 = 419,277.70/x
  3. Step 3: Cross multiply
    471,808.90x = 706,676.55 × 419,277.70
  4. Step 4: Simplify right side
    471,808.90x = 296,293,718,527.94
  5. Step 5: Solve for x
    x = 296,293,718,527.94/471,808.90
  6. Step 6: Final answer
    x = 627,995.19

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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.