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Finding the Fourth Proportional to 471,611.26, 650,908.43 and 278,007.42

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Solution

The fourth proportional to 471,611.26, 650,908.43 and 278,007.42 is: 383,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,611.26 : 650,908.43 = 278,007.42 : x
  2. Step 2: Convert to fraction form
    471,611.26/650,908.43 = 278,007.42/x
  3. Step 3: Cross multiply
    471,611.26x = 650,908.43 × 278,007.42
  4. Step 4: Simplify right side
    471,611.26x = 180,957,373,280.55
  5. Step 5: Solve for x
    x = 180,957,373,280.55/471,611.26
  6. Step 6: Final answer
    x = 383,700.28

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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.