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Finding the Fourth Proportional to 213,978.14, 295,286.22 and 118,482.78

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Solution

The fourth proportional to 213,978.14, 295,286.22 and 118,482.78 is: 163,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.14 : 295,286.22 = 118,482.78 : x
  2. Step 2: Convert to fraction form
    213,978.14/295,286.22 = 118,482.78/x
  3. Step 3: Cross multiply
    213,978.14x = 295,286.22 × 118,482.78
  4. Step 4: Simplify right side
    213,978.14x = 34,986,332,241.29
  5. Step 5: Solve for x
    x = 34,986,332,241.29/213,978.14
  6. Step 6: Final answer
    x = 163,504.24

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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.