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Finding the Fourth Proportional to 393,647,905.10, 590,471,857.65 and 393,647,905.10

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Solution

The fourth proportional to 393,647,905.10, 590,471,857.65 and 393,647,905.10 is: 590,471,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,647,905.10 : 590,471,857.65 = 393,647,905.10 : x
  2. Step 2: Convert to fraction form
    393,647,905.10/590,471,857.65 = 393,647,905.10/x
  3. Step 3: Cross multiply
    393,647,905.10x = 590,471,857.65 × 393,647,905.10
  4. Step 4: Simplify right side
    393,647,905.10x = 232,438,009,784,427,904
  5. Step 5: Solve for x
    x = 232,438,009,784,427,904/393,647,905.10
  6. Step 6: Final answer
    x = 590,471,857.65

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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.