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Finding the Fourth Proportional to 259,305.60, 388,094.40 and 188,025.60

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Solution

The fourth proportional to 259,305.60, 388,094.40 and 188,025.60 is: 281,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,305.60 : 388,094.40 = 188,025.60 : x
  2. Step 2: Convert to fraction form
    259,305.60/388,094.40 = 188,025.60/x
  3. Step 3: Cross multiply
    259,305.60x = 388,094.40 × 188,025.60
  4. Step 4: Simplify right side
    259,305.60x = 72,971,682,416.64
  5. Step 5: Solve for x
    x = 72,971,682,416.64/259,305.60
  6. Step 6: Final answer
    x = 281,411.90

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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.