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Finding the Fourth Proportional to 281,859.81, 388,982.48 and 167,206.34

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Solution

The fourth proportional to 281,859.81, 388,982.48 and 167,206.34 is: 230,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,859.81 : 388,982.48 = 167,206.34 : x
  2. Step 2: Convert to fraction form
    281,859.81/388,982.48 = 167,206.34/x
  3. Step 3: Cross multiply
    281,859.81x = 388,982.48 × 167,206.34
  4. Step 4: Simplify right side
    281,859.81x = 65,040,334,023.98
  5. Step 5: Solve for x
    x = 65,040,334,023.98/281,859.81
  6. Step 6: Final answer
    x = 230,754.20

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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.