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Finding the Fourth Proportional to 287,447.34, 396,651.60 and 160,120.20

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Solution

The fourth proportional to 287,447.34, 396,651.60 and 160,120.20 is: 220,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,447.34 : 396,651.60 = 160,120.20 : x
  2. Step 2: Convert to fraction form
    287,447.34/396,651.60 = 160,120.20/x
  3. Step 3: Cross multiply
    287,447.34x = 396,651.60 × 160,120.20
  4. Step 4: Simplify right side
    287,447.34x = 63,511,933,522.32
  5. Step 5: Solve for x
    x = 63,511,933,522.32/287,447.34
  6. Step 6: Final answer
    x = 220,951.54

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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.