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Finding the Fourth Proportional to 310,022.64, 465,137.44 and 120,489.05

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Solution

The fourth proportional to 310,022.64, 465,137.44 and 120,489.05 is: 180,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,022.64 : 465,137.44 = 120,489.05 : x
  2. Step 2: Convert to fraction form
    310,022.64/465,137.44 = 120,489.05/x
  3. Step 3: Cross multiply
    310,022.64x = 465,137.44 × 120,489.05
  4. Step 4: Simplify right side
    310,022.64x = 56,043,969,126.65
  5. Step 5: Solve for x
    x = 56,043,969,126.65/310,022.64
  6. Step 6: Final answer
    x = 180,773.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.