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Finding the Fourth Proportional to 280,015.60, 419,974.80 and 102,431.20

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Solution

The fourth proportional to 280,015.60, 419,974.80 and 102,431.20 is: 153,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,015.60 : 419,974.80 = 102,431.20 : x
  2. Step 2: Convert to fraction form
    280,015.60/419,974.80 = 102,431.20/x
  3. Step 3: Cross multiply
    280,015.60x = 419,974.80 × 102,431.20
  4. Step 4: Simplify right side
    280,015.60x = 43,018,522,733.76
  5. Step 5: Solve for x
    x = 43,018,522,733.76/280,015.60
  6. Step 6: Final answer
    x = 153,629.02

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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.