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Finding the Fourth Proportional to 720,375,485.96, 994,008,235.30 and 406,995,357.16

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Solution

The fourth proportional to 720,375,485.96, 994,008,235.30 and 406,995,357.16 is: 561,591,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,375,485.96 : 994,008,235.30 = 406,995,357.16 : x
  2. Step 2: Convert to fraction form
    720,375,485.96/994,008,235.30 = 406,995,357.16/x
  3. Step 3: Cross multiply
    720,375,485.96x = 994,008,235.30 × 406,995,357.16
  4. Step 4: Simplify right side
    720,375,485.96x = 404,556,736,745,904,832
  5. Step 5: Solve for x
    x = 404,556,736,745,904,832/720,375,485.96
  6. Step 6: Final answer
    x = 561,591,481.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.