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Finding the Fourth Proportional to 259,382.40, 388,857.60 and 109,737.60

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Solution

The fourth proportional to 259,382.40, 388,857.60 and 109,737.60 is: 164,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,382.40 : 388,857.60 = 109,737.60 : x
  2. Step 2: Convert to fraction form
    259,382.40/388,857.60 = 109,737.60/x
  3. Step 3: Cross multiply
    259,382.40x = 388,857.60 × 109,737.60
  4. Step 4: Simplify right side
    259,382.40x = 42,672,299,765.76
  5. Step 5: Solve for x
    x = 42,672,299,765.76/259,382.40
  6. Step 6: Final answer
    x = 164,515.02

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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.