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Finding the Fourth Proportional to 420,059,165.60, 629,080,978.80 and 204,396,471.20

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Solution

The fourth proportional to 420,059,165.60, 629,080,978.80 and 204,396,471.20 is: 306,104,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,059,165.60 : 629,080,978.80 = 204,396,471.20 : x
  2. Step 2: Convert to fraction form
    420,059,165.60/629,080,978.80 = 204,396,471.20/x
  3. Step 3: Cross multiply
    420,059,165.60x = 629,080,978.80 × 204,396,471.20
  4. Step 4: Simplify right side
    420,059,165.60x = 128,581,932,165,762,000
  5. Step 5: Solve for x
    x = 128,581,932,165,762,000/420,059,165.60
  6. Step 6: Final answer
    x = 306,104,336.47

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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.