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Finding the Fourth Proportional to 295,855.25, 408,280.25 and 161,719.25

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Solution

The fourth proportional to 295,855.25, 408,280.25 and 161,719.25 is: 223,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,855.25 : 408,280.25 = 161,719.25 : x
  2. Step 2: Convert to fraction form
    295,855.25/408,280.25 = 161,719.25/x
  3. Step 3: Cross multiply
    295,855.25x = 408,280.25 × 161,719.25
  4. Step 4: Simplify right side
    295,855.25x = 66,026,775,011.22
  5. Step 5: Solve for x
    x = 66,026,775,011.22/295,855.25
  6. Step 6: Final answer
    x = 223,172.57

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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.