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Finding the Fourth Proportional to 216,473.85, 298,734.38 and 120,980.55

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Solution

The fourth proportional to 216,473.85, 298,734.38 and 120,980.55 is: 166,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,473.85 : 298,734.38 = 120,980.55 : x
  2. Step 2: Convert to fraction form
    216,473.85/298,734.38 = 120,980.55/x
  3. Step 3: Cross multiply
    216,473.85x = 298,734.38 × 120,980.55
  4. Step 4: Simplify right side
    216,473.85x = 36,141,049,596.31
  5. Step 5: Solve for x
    x = 36,141,049,596.31/216,473.85
  6. Step 6: Final answer
    x = 166,953.42

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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.