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Finding the Fourth Proportional to 295,465, 407,742.78 and 161,329

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Solution

The fourth proportional to 295,465, 407,742.78 and 161,329 is: 222,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,465 : 407,742.78 = 161,329 : x
  2. Step 2: Convert to fraction form
    295,465/407,742.78 = 161,329/x
  3. Step 3: Cross multiply
    295,465x = 407,742.78 × 161,329
  4. Step 4: Simplify right side
    295,465x = 65,780,734,954.62
  5. Step 5: Solve for x
    x = 65,780,734,954.62/295,465
  6. Step 6: Final answer
    x = 222,634.61

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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.