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Finding the Fourth Proportional to 216,278.91, 298,421.59 and 120,770.91

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Solution

The fourth proportional to 216,278.91, 298,421.59 and 120,770.91 is: 166,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,278.91 : 298,421.59 = 120,770.91 : x
  2. Step 2: Convert to fraction form
    216,278.91/298,421.59 = 120,770.91/x
  3. Step 3: Cross multiply
    216,278.91x = 298,421.59 × 120,770.91
  4. Step 4: Simplify right side
    216,278.91x = 36,040,646,987.95
  5. Step 5: Solve for x
    x = 36,040,646,987.95/216,278.91
  6. Step 6: Final answer
    x = 166,639.67

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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.