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Finding the Fourth Proportional to 281,643.57, 388,704.29 and 160,757.15

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Solution

The fourth proportional to 281,643.57, 388,704.29 and 160,757.15 is: 221,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,643.57 : 388,704.29 = 160,757.15 : x
  2. Step 2: Convert to fraction form
    281,643.57/388,704.29 = 160,757.15/x
  3. Step 3: Cross multiply
    281,643.57x = 388,704.29 × 160,757.15
  4. Step 4: Simplify right side
    281,643.57x = 62,486,991,105.87
  5. Step 5: Solve for x
    x = 62,486,991,105.87/281,643.57
  6. Step 6: Final answer
    x = 221,865.50

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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.