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Finding the Fourth Proportional to 216,274.78, 298,415.91 and 120,766.78

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Solution

The fourth proportional to 216,274.78, 298,415.91 and 120,766.78 is: 166,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,274.78 : 298,415.91 = 120,766.78 : x
  2. Step 2: Convert to fraction form
    216,274.78/298,415.91 = 120,766.78/x
  3. Step 3: Cross multiply
    216,274.78x = 298,415.91 × 120,766.78
  4. Step 4: Simplify right side
    216,274.78x = 36,038,728,551.47
  5. Step 5: Solve for x
    x = 36,038,728,551.47/216,274.78
  6. Step 6: Final answer
    x = 166,633.99

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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.