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Finding the Fourth Proportional to 281,200.30, 388,079.40 and 160,379.44

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Solution

The fourth proportional to 281,200.30, 388,079.40 and 160,379.44 is: 221,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,200.30 : 388,079.40 = 160,379.44 : x
  2. Step 2: Convert to fraction form
    281,200.30/388,079.40 = 160,379.44/x
  3. Step 3: Cross multiply
    281,200.30x = 388,079.40 × 160,379.44
  4. Step 4: Simplify right side
    281,200.30x = 62,239,956,847.54
  5. Step 5: Solve for x
    x = 62,239,956,847.54/281,200.30
  6. Step 6: Final answer
    x = 221,336.74

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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.