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Finding the Fourth Proportional to 295,955.12, 408,419.64 and 161,819.12

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Solution

The fourth proportional to 295,955.12, 408,419.64 and 161,819.12 is: 223,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,955.12 : 408,419.64 = 161,819.12 : x
  2. Step 2: Convert to fraction form
    295,955.12/408,419.64 = 161,819.12/x
  3. Step 3: Cross multiply
    295,955.12x = 408,419.64 × 161,819.12
  4. Step 4: Simplify right side
    295,955.12x = 66,090,106,735.52
  5. Step 5: Solve for x
    x = 66,090,106,735.52/295,955.12
  6. Step 6: Final answer
    x = 223,311.25

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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.