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Finding the Fourth Proportional to 854,763,240, 1,179,561,696.12 and 478,419,715.92

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Solution

The fourth proportional to 854,763,240, 1,179,561,696.12 and 478,419,715.92 is: 660,212,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,763,240 : 1,179,561,696.12 = 478,419,715.92 : x
  2. Step 2: Convert to fraction form
    854,763,240/1,179,561,696.12 = 478,419,715.92/x
  3. Step 3: Cross multiply
    854,763,240x = 1,179,561,696.12 × 478,419,715.92
  4. Step 4: Simplify right side
    854,763,240x = 564,325,571,567,843,712
  5. Step 5: Solve for x
    x = 564,325,571,567,843,712/854,763,240
  6. Step 6: Final answer
    x = 660,212,729.28

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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.