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Finding the Fourth Proportional to 288,111, 397,596.78 and 167,257.38

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Solution

The fourth proportional to 288,111, 397,596.78 and 167,257.38 is: 230,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,111 : 397,596.78 = 167,257.38 : x
  2. Step 2: Convert to fraction form
    288,111/397,596.78 = 167,257.38/x
  3. Step 3: Cross multiply
    288,111x = 397,596.78 × 167,257.38
  4. Step 4: Simplify right side
    288,111x = 66,500,995,719.24
  5. Step 5: Solve for x
    x = 66,500,995,719.24/288,111
  6. Step 6: Final answer
    x = 230,817.27

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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.