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Finding the Fourth Proportional to 216,415.52, 298,652.78 and 120,922.28

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Solution

The fourth proportional to 216,415.52, 298,652.78 and 120,922.28 is: 166,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,415.52 : 298,652.78 = 120,922.28 : x
  2. Step 2: Convert to fraction form
    216,415.52/298,652.78 = 120,922.28/x
  3. Step 3: Cross multiply
    216,415.52x = 298,652.78 × 120,922.28
  4. Step 4: Simplify right side
    216,415.52x = 36,113,776,134.88
  5. Step 5: Solve for x
    x = 36,113,776,134.88/216,415.52
  6. Step 6: Final answer
    x = 166,872.40

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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.