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Finding the Fourth Proportional to 230,830.20, 346,050.90 and 120,022.20

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Solution

The fourth proportional to 230,830.20, 346,050.90 and 120,022.20 is: 179,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830.20 : 346,050.90 = 120,022.20 : x
  2. Step 2: Convert to fraction form
    230,830.20/346,050.90 = 120,022.20/x
  3. Step 3: Cross multiply
    230,830.20x = 346,050.90 × 120,022.20
  4. Step 4: Simplify right side
    230,830.20x = 41,533,790,329.98
  5. Step 5: Solve for x
    x = 41,533,790,329.98/230,830.20
  6. Step 6: Final answer
    x = 179,932.22

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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.