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Finding the Fourth Proportional to 215,946, 298,005.75 and 120,458.75

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Solution

The fourth proportional to 215,946, 298,005.75 and 120,458.75 is: 166,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,946 : 298,005.75 = 120,458.75 : x
  2. Step 2: Convert to fraction form
    215,946/298,005.75 = 120,458.75/x
  3. Step 3: Cross multiply
    215,946x = 298,005.75 × 120,458.75
  4. Step 4: Simplify right side
    215,946x = 35,897,398,647.78
  5. Step 5: Solve for x
    x = 35,897,398,647.78/215,946
  6. Step 6: Final answer
    x = 166,233.22

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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.