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Finding the Fourth Proportional to 380,599.05, 525,222.25 and 206,165.97

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Solution

The fourth proportional to 380,599.05, 525,222.25 and 206,165.97 is: 284,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,599.05 : 525,222.25 = 206,165.97 : x
  2. Step 2: Convert to fraction form
    380,599.05/525,222.25 = 206,165.97/x
  3. Step 3: Cross multiply
    380,599.05x = 525,222.25 × 206,165.97
  4. Step 4: Simplify right side
    380,599.05x = 108,282,954,636.83
  5. Step 5: Solve for x
    x = 108,282,954,636.83/380,599.05
  6. Step 6: Final answer
    x = 284,506.63

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1.5x scale

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.