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Finding the Fourth Proportional to 664,206, 916,511.76 and 377,694.36

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Solution

The fourth proportional to 664,206, 916,511.76 and 377,694.36 is: 521,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,206 : 916,511.76 = 377,694.36 : x
  2. Step 2: Convert to fraction form
    664,206/916,511.76 = 377,694.36/x
  3. Step 3: Cross multiply
    664,206x = 916,511.76 × 377,694.36
  4. Step 4: Simplify right side
    664,206x = 346,161,322,625.67
  5. Step 5: Solve for x
    x = 346,161,322,625.67/664,206
  6. Step 6: Final answer
    x = 521,165.61

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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.