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Finding the Fourth Proportional to 295,274.64, 407,478.80 and 161,138.64

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Solution

The fourth proportional to 295,274.64, 407,478.80 and 161,138.64 is: 222,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,274.64 : 407,478.80 = 161,138.64 : x
  2. Step 2: Convert to fraction form
    295,274.64/407,478.80 = 161,138.64/x
  3. Step 3: Cross multiply
    295,274.64x = 407,478.80 × 161,138.64
  4. Step 4: Simplify right side
    295,274.64x = 65,660,579,660.83
  5. Step 5: Solve for x
    x = 65,660,579,660.83/295,274.64
  6. Step 6: Final answer
    x = 222,371.21

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1.5x scale

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.