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Finding the Fourth Proportional to 447,198.96, 617,078.40 and 302,319.90

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Solution

The fourth proportional to 447,198.96, 617,078.40 and 302,319.90 is: 417,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,198.96 : 617,078.40 = 302,319.90 : x
  2. Step 2: Convert to fraction form
    447,198.96/617,078.40 = 302,319.90/x
  3. Step 3: Cross multiply
    447,198.96x = 617,078.40 × 302,319.90
  4. Step 4: Simplify right side
    447,198.96x = 186,555,080,180.16
  5. Step 5: Solve for x
    x = 186,555,080,180.16/447,198.96
  6. Step 6: Final answer
    x = 417,163.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.