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Finding the Fourth Proportional to 288,219, 396,861.75 and 261,185.66

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Solution

The fourth proportional to 288,219, 396,861.75 and 261,185.66 is: 359,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,219 : 396,861.75 = 261,185.66 : x
  2. Step 2: Convert to fraction form
    288,219/396,861.75 = 261,185.66/x
  3. Step 3: Cross multiply
    288,219x = 396,861.75 × 261,185.66
  4. Step 4: Simplify right side
    288,219x = 103,654,598,102.51
  5. Step 5: Solve for x
    x = 103,654,598,102.51/288,219
  6. Step 6: Final answer
    x = 359,638.32

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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.