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Finding the Fourth Proportional to 311,231.20, 466,846.80 and 193,133.20

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Solution

The fourth proportional to 311,231.20, 466,846.80 and 193,133.20 is: 289,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,231.20 : 466,846.80 = 193,133.20 : x
  2. Step 2: Convert to fraction form
    311,231.20/466,846.80 = 193,133.20/x
  3. Step 3: Cross multiply
    311,231.20x = 466,846.80 × 193,133.20
  4. Step 4: Simplify right side
    311,231.20x = 90,163,616,393.76
  5. Step 5: Solve for x
    x = 90,163,616,393.76/311,231.20
  6. Step 6: Final answer
    x = 289,699.80

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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.