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Finding the Fourth Proportional to 643,882,665.80, 965,949,969.90 and 275,416,905.80

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Solution

The fourth proportional to 643,882,665.80, 965,949,969.90 and 275,416,905.80 is: 413,179,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,882,665.80 : 965,949,969.90 = 275,416,905.80 : x
  2. Step 2: Convert to fraction form
    643,882,665.80/965,949,969.90 = 275,416,905.80/x
  3. Step 3: Cross multiply
    643,882,665.80x = 965,949,969.90 × 275,416,905.80
  4. Step 4: Simplify right side
    643,882,665.80x = 266,038,951,867,461,152
  5. Step 5: Solve for x
    x = 266,038,951,867,461,152/643,882,665.80
  6. Step 6: Final answer
    x = 413,179,242.12

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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.