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Finding the Fourth Proportional to 1,380,647,015.12, 2,070,978,264.64 and 460,520,827.76

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Solution

The fourth proportional to 1,380,647,015.12, 2,070,978,264.64 and 460,520,827.76 is: 690,783,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,647,015.12 : 2,070,978,264.64 = 460,520,827.76 : x
  2. Step 2: Convert to fraction form
    1,380,647,015.12/2,070,978,264.64 = 460,520,827.76/x
  3. Step 3: Cross multiply
    1,380,647,015.12x = 2,070,978,264.64 × 460,520,827.76
  4. Step 4: Simplify right side
    1,380,647,015.12x = 953,728,624,704,981,120
  5. Step 5: Solve for x
    x = 953,728,624,704,981,120/1,380,647,015.12
  6. Step 6: Final answer
    x = 690,783,824.00

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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.