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Finding the Fourth Proportional to 215,988, 298,062.59 and 120,494.58

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Solution

The fourth proportional to 215,988, 298,062.59 and 120,494.58 is: 166,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,988 : 298,062.59 = 120,494.58 : x
  2. Step 2: Convert to fraction form
    215,988/298,062.59 = 120,494.58/x
  3. Step 3: Cross multiply
    215,988x = 298,062.59 × 120,494.58
  4. Step 4: Simplify right side
    215,988x = 35,914,925,993.29
  5. Step 5: Solve for x
    x = 35,914,925,993.29/215,988
  6. Step 6: Final answer
    x = 166,282.04

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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.