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Finding the Fourth Proportional to 258,978,382.40, 388,467,573.60 and 186,702,406.40

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Solution

The fourth proportional to 258,978,382.40, 388,467,573.60 and 186,702,406.40 is: 280,053,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,382.40 : 388,467,573.60 = 186,702,406.40 : x
  2. Step 2: Convert to fraction form
    258,978,382.40/388,467,573.60 = 186,702,406.40/x
  3. Step 3: Cross multiply
    258,978,382.40x = 388,467,573.60 × 186,702,406.40
  4. Step 4: Simplify right side
    258,978,382.40x = 72,527,830,799,489,120
  5. Step 5: Solve for x
    x = 72,527,830,799,489,120/258,978,382.40
  6. Step 6: Final answer
    x = 280,053,609.60

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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.