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Finding the Fourth Proportional to 197,978,477.48, 296,967,716.70 and 105,582,289.80

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Solution

The fourth proportional to 197,978,477.48, 296,967,716.70 and 105,582,289.80 is: 158,373,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,978,477.48 : 296,967,716.70 = 105,582,289.80 : x
  2. Step 2: Convert to fraction form
    197,978,477.48/296,967,716.70 = 105,582,289.80/x
  3. Step 3: Cross multiply
    197,978,477.48x = 296,967,716.70 × 105,582,289.80
  4. Step 4: Simplify right side
    197,978,477.48x = 31,354,531,525,863,696
  5. Step 5: Solve for x
    x = 31,354,531,525,863,696/197,978,477.48
  6. Step 6: Final answer
    x = 158,373,434.96

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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.