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Finding the Fourth Proportional to 11,978,168.40, 17,968,030.20 and 6,309,464.40

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Solution

The fourth proportional to 11,978,168.40, 17,968,030.20 and 6,309,464.40 is: 9,464,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978,168.40 : 17,968,030.20 = 6,309,464.40 : x
  2. Step 2: Convert to fraction form
    11,978,168.40/17,968,030.20 = 6,309,464.40/x
  3. Step 3: Cross multiply
    11,978,168.40x = 17,968,030.20 × 6,309,464.40
  4. Step 4: Simplify right side
    11,978,168.40x = 113,368,646,885,024.88
  5. Step 5: Solve for x
    x = 113,368,646,885,024.88/11,978,168.40
  6. Step 6: Final answer
    x = 9,464,606.20

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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.