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Finding the Fourth Proportional to 287,229.60, 430,847.52 and 100,241.76

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Solution

The fourth proportional to 287,229.60, 430,847.52 and 100,241.76 is: 150,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,229.60 : 430,847.52 = 100,241.76 : x
  2. Step 2: Convert to fraction form
    287,229.60/430,847.52 = 100,241.76/x
  3. Step 3: Cross multiply
    287,229.60x = 430,847.52 × 100,241.76
  4. Step 4: Simplify right side
    287,229.60x = 43,188,913,696.44
  5. Step 5: Solve for x
    x = 43,188,913,696.44/287,229.60
  6. Step 6: Final answer
    x = 150,363.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.