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Finding the Fourth Proportional to 408,863.88, 563,993 and 265,719.26

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Solution

The fourth proportional to 408,863.88, 563,993 and 265,719.26 is: 366,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,863.88 : 563,993 = 265,719.26 : x
  2. Step 2: Convert to fraction form
    408,863.88/563,993 = 265,719.26/x
  3. Step 3: Cross multiply
    408,863.88x = 563,993 × 265,719.26
  4. Step 4: Simplify right side
    408,863.88x = 149,863,802,605.18
  5. Step 5: Solve for x
    x = 149,863,802,605.18/408,863.88
  6. Step 6: Final answer
    x = 366,537.15

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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.