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Finding the Fourth Proportional to 1,045,664, 1,568,496 and 257,696

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Solution

The fourth proportional to 1,045,664, 1,568,496 and 257,696 is: 386,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,664 : 1,568,496 = 257,696 : x
  2. Step 2: Convert to fraction form
    1,045,664/1,568,496 = 257,696/x
  3. Step 3: Cross multiply
    1,045,664x = 1,568,496 × 257,696
  4. Step 4: Simplify right side
    1,045,664x = 404,195,145,216
  5. Step 5: Solve for x
    x = 404,195,145,216/1,045,664
  6. Step 6: Final answer
    x = 386,544

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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.