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Finding the Fourth Proportional to 380,598.05, 525,220.87 and 206,164.97

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Solution

The fourth proportional to 380,598.05, 525,220.87 and 206,164.97 is: 284,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,598.05 : 525,220.87 = 206,164.97 : x
  2. Step 2: Convert to fraction form
    380,598.05/525,220.87 = 206,164.97/x
  3. Step 3: Cross multiply
    380,598.05x = 525,220.87 × 206,164.97
  4. Step 4: Simplify right side
    380,598.05x = 108,282,144,906.92
  5. Step 5: Solve for x
    x = 108,282,144,906.92/380,598.05
  6. Step 6: Final answer
    x = 284,505.25

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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.