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Finding the Fourth Proportional to 380,609.46, 525,241.46 and 206,180.07

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Solution

The fourth proportional to 380,609.46, 525,241.46 and 206,180.07 is: 284,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,609.46 : 525,241.46 = 206,180.07 : x
  2. Step 2: Convert to fraction form
    380,609.46/525,241.46 = 206,180.07/x
  3. Step 3: Cross multiply
    380,609.46x = 525,241.46 × 206,180.07
  4. Step 4: Simplify right side
    380,609.46x = 108,294,320,989.70
  5. Step 5: Solve for x
    x = 108,294,320,989.70/380,609.46
  6. Step 6: Final answer
    x = 284,528.72

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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.