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Finding the Fourth Proportional to 447,409.65, 617,432.72 and 243,469.17

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Solution

The fourth proportional to 447,409.65, 617,432.72 and 243,469.17 is: 335,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,409.65 : 617,432.72 = 243,469.17 : x
  2. Step 2: Convert to fraction form
    447,409.65/617,432.72 = 243,469.17/x
  3. Step 3: Cross multiply
    447,409.65x = 617,432.72 × 243,469.17
  4. Step 4: Simplify right side
    447,409.65x = 150,325,830,651.90
  5. Step 5: Solve for x
    x = 150,325,830,651.90/447,409.65
  6. Step 6: Final answer
    x = 335,991.48

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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.