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Finding the Fourth Proportional to 678,644,932.82, 1,017,965,895.19 and 180,655,560.37

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Solution

The fourth proportional to 678,644,932.82, 1,017,965,895.19 and 180,655,560.37 is: 270,982,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,644,932.82 : 1,017,965,895.19 = 180,655,560.37 : x
  2. Step 2: Convert to fraction form
    678,644,932.82/1,017,965,895.19 = 180,655,560.37/x
  3. Step 3: Cross multiply
    678,644,932.82x = 1,017,965,895.19 × 180,655,560.37
  4. Step 4: Simplify right side
    678,644,932.82x = 183,901,199,233,918,944
  5. Step 5: Solve for x
    x = 183,901,199,233,918,944/678,644,932.82
  6. Step 6: Final answer
    x = 270,982,940.18

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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.