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Finding the Fourth Proportional to 422,611,477.80, 633,917,216.70 and 293,471,314.80

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Solution

The fourth proportional to 422,611,477.80, 633,917,216.70 and 293,471,314.80 is: 440,206,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,611,477.80 : 633,917,216.70 = 293,471,314.80 : x
  2. Step 2: Convert to fraction form
    422,611,477.80/633,917,216.70 = 293,471,314.80/x
  3. Step 3: Cross multiply
    422,611,477.80x = 633,917,216.70 × 293,471,314.80
  4. Step 4: Simplify right side
    422,611,477.80x = 186,036,519,059,305,536
  5. Step 5: Solve for x
    x = 186,036,519,059,305,536/422,611,477.80
  6. Step 6: Final answer
    x = 440,206,972.20

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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.