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Finding the Fourth Proportional to 266,976,019.80, 400,464,029.70 and 105,396,960.60

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Solution

The fourth proportional to 266,976,019.80, 400,464,029.70 and 105,396,960.60 is: 158,095,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,976,019.80 : 400,464,029.70 = 105,396,960.60 : x
  2. Step 2: Convert to fraction form
    266,976,019.80/400,464,029.70 = 105,396,960.60/x
  3. Step 3: Cross multiply
    266,976,019.80x = 400,464,029.70 × 105,396,960.60
  4. Step 4: Simplify right side
    266,976,019.80x = 42,207,691,560,008,128
  5. Step 5: Solve for x
    x = 42,207,691,560,008,128/266,976,019.80
  6. Step 6: Final answer
    x = 158,095,440.90

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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.