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Finding the Fourth Proportional to 281,866.63, 388,991.87 and 167,213.16

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Solution

The fourth proportional to 281,866.63, 388,991.87 and 167,213.16 is: 230,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,866.63 : 388,991.87 = 167,213.16 : x
  2. Step 2: Convert to fraction form
    281,866.63/388,991.87 = 167,213.16/x
  3. Step 3: Cross multiply
    281,866.63x = 388,991.87 × 167,213.16
  4. Step 4: Simplify right side
    281,866.63x = 65,044,559,797.01
  5. Step 5: Solve for x
    x = 65,044,559,797.01/281,866.63
  6. Step 6: Final answer
    x = 230,763.61

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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.