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Finding the Fourth Proportional to 279,165,664.20, 418,748,496.30 and 279,165,664.20

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Solution

The fourth proportional to 279,165,664.20, 418,748,496.30 and 279,165,664.20 is: 418,748,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,165,664.20 : 418,748,496.30 = 279,165,664.20 : x
  2. Step 2: Convert to fraction form
    279,165,664.20/418,748,496.30 = 279,165,664.20/x
  3. Step 3: Cross multiply
    279,165,664.20x = 418,748,496.30 × 279,165,664.20
  4. Step 4: Simplify right side
    279,165,664.20x = 116,900,202,102,340,736
  5. Step 5: Solve for x
    x = 116,900,202,102,340,736/279,165,664.20
  6. Step 6: Final answer
    x = 418,748,496.30

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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.