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Finding the Fourth Proportional to 2,978,210,404.20, 4,467,315,606.30 and 797,176,540.20

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Solution

The fourth proportional to 2,978,210,404.20, 4,467,315,606.30 and 797,176,540.20 is: 1,195,764,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,210,404.20 : 4,467,315,606.30 = 797,176,540.20 : x
  2. Step 2: Convert to fraction form
    2,978,210,404.20/4,467,315,606.30 = 797,176,540.20/x
  3. Step 3: Cross multiply
    2,978,210,404.20x = 4,467,315,606.30 × 797,176,540.20
  4. Step 4: Simplify right side
    2,978,210,404.20x = 3,561,239,199,011,699,712
  5. Step 5: Solve for x
    x = 3,561,239,199,011,699,712/2,978,210,404.20
  6. Step 6: Final answer
    x = 1,195,764,810.30

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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.