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Finding the Fourth Proportional to 469,081, 703,621.50 and 206,425

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Solution

The fourth proportional to 469,081, 703,621.50 and 206,425 is: 309,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,081 : 703,621.50 = 206,425 : x
  2. Step 2: Convert to fraction form
    469,081/703,621.50 = 206,425/x
  3. Step 3: Cross multiply
    469,081x = 703,621.50 × 206,425
  4. Step 4: Simplify right side
    469,081x = 145,245,068,137.50
  5. Step 5: Solve for x
    x = 145,245,068,137.50/469,081
  6. Step 6: Final answer
    x = 309,637.50

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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.