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Finding the Fourth Proportional to 471,378.60, 707,067.90 and 403,727.40

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Solution

The fourth proportional to 471,378.60, 707,067.90 and 403,727.40 is: 605,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,378.60 : 707,067.90 = 403,727.40 : x
  2. Step 2: Convert to fraction form
    471,378.60/707,067.90 = 403,727.40/x
  3. Step 3: Cross multiply
    471,378.60x = 707,067.90 × 403,727.40
  4. Step 4: Simplify right side
    471,378.60x = 285,462,684,890.46
  5. Step 5: Solve for x
    x = 285,462,684,890.46/471,378.60
  6. Step 6: Final answer
    x = 605,591.10

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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.