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Finding the Fourth Proportional to 779,364,974.12, 1,075,515,096.09 and 422,123,863.88

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Solution

The fourth proportional to 779,364,974.12, 1,075,515,096.09 and 422,123,863.88 is: 582,526,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,364,974.12 : 1,075,515,096.09 = 422,123,863.88 : x
  2. Step 2: Convert to fraction form
    779,364,974.12/1,075,515,096.09 = 422,123,863.88/x
  3. Step 3: Cross multiply
    779,364,974.12x = 1,075,515,096.09 × 422,123,863.88
  4. Step 4: Simplify right side
    779,364,974.12x = 454,000,588,027,073,152
  5. Step 5: Solve for x
    x = 454,000,588,027,073,152/779,364,974.12
  6. Step 6: Final answer
    x = 582,526,291.41

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