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Finding the Fourth Proportional to 1,763,638,978.42, 2,645,515,764.36 and 519,965,151.22

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Solution

The fourth proportional to 1,763,638,978.42, 2,645,515,764.36 and 519,965,151.22 is: 779,964,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,638,978.42 : 2,645,515,764.36 = 519,965,151.22 : x
  2. Step 2: Convert to fraction form
    1,763,638,978.42/2,645,515,764.36 = 519,965,151.22/x
  3. Step 3: Cross multiply
    1,763,638,978.42x = 2,645,515,764.36 × 519,965,151.22
  4. Step 4: Simplify right side
    1,763,638,978.42x = 1,375,576,004,470,341,376
  5. Step 5: Solve for x
    x = 1,375,576,004,470,341,376/1,763,638,978.42
  6. Step 6: Final answer
    x = 779,964,619.35

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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.