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Finding the Fourth Proportional to 618,083,407.82, 852,954,907.64 and 339,642,867.49

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Solution

The fourth proportional to 618,083,407.82, 852,954,907.64 and 339,642,867.49 is: 468,707,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,083,407.82 : 852,954,907.64 = 339,642,867.49 : x
  2. Step 2: Convert to fraction form
    618,083,407.82/852,954,907.64 = 339,642,867.49/x
  3. Step 3: Cross multiply
    618,083,407.82x = 852,954,907.64 × 339,642,867.49
  4. Step 4: Simplify right side
    618,083,407.82x = 289,700,050,666,687,104
  5. Step 5: Solve for x
    x = 289,700,050,666,687,104/618,083,407.82
  6. Step 6: Final answer
    x = 468,707,049.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.