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Finding the Fourth Proportional to 311,218.80, 466,828.20 and 308,266.35

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Solution

The fourth proportional to 311,218.80, 466,828.20 and 308,266.35 is: 462,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,218.80 : 466,828.20 = 308,266.35 : x
  2. Step 2: Convert to fraction form
    311,218.80/466,828.20 = 308,266.35/x
  3. Step 3: Cross multiply
    311,218.80x = 466,828.20 × 308,266.35
  4. Step 4: Simplify right side
    311,218.80x = 143,907,425,291.07
  5. Step 5: Solve for x
    x = 143,907,425,291.07/311,218.80
  6. Step 6: Final answer
    x = 462,399.53

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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.