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Finding the Fourth Proportional to 259,043.40, 388,200.60 and 205,826.40

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Solution

The fourth proportional to 259,043.40, 388,200.60 and 205,826.40 is: 308,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,043.40 : 388,200.60 = 205,826.40 : x
  2. Step 2: Convert to fraction form
    259,043.40/388,200.60 = 205,826.40/x
  3. Step 3: Cross multiply
    259,043.40x = 388,200.60 × 205,826.40
  4. Step 4: Simplify right side
    259,043.40x = 79,901,931,975.84
  5. Step 5: Solve for x
    x = 79,901,931,975.84/259,043.40
  6. Step 6: Final answer
    x = 308,449.98

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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.