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Finding the Fourth Proportional to 280,954.44, 387,704.88 and 160,121.88

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Solution

The fourth proportional to 280,954.44, 387,704.88 and 160,121.88 is: 220,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.44 : 387,704.88 = 160,121.88 : x
  2. Step 2: Convert to fraction form
    280,954.44/387,704.88 = 160,121.88/x
  3. Step 3: Cross multiply
    280,954.44x = 387,704.88 × 160,121.88
  4. Step 4: Simplify right side
    280,954.44x = 62,080,034,270.77
  5. Step 5: Solve for x
    x = 62,080,034,270.77/280,954.44
  6. Step 6: Final answer
    x = 220,961.21

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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.