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Finding the Fourth Proportional to 295,994.88, 408,464.64 and 161,856

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Solution

The fourth proportional to 295,994.88, 408,464.64 and 161,856 is: 223,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,994.88 : 408,464.64 = 161,856 : x
  2. Step 2: Convert to fraction form
    295,994.88/408,464.64 = 161,856/x
  3. Step 3: Cross multiply
    295,994.88x = 408,464.64 × 161,856
  4. Step 4: Simplify right side
    295,994.88x = 66,112,452,771.84
  5. Step 5: Solve for x
    x = 66,112,452,771.84/295,994.88
  6. Step 6: Final answer
    x = 223,356.74

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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.