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Finding the Fourth Proportional to 259,872.80, 389,809.20 and 212,633.60

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Solution

The fourth proportional to 259,872.80, 389,809.20 and 212,633.60 is: 318,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872.80 : 389,809.20 = 212,633.60 : x
  2. Step 2: Convert to fraction form
    259,872.80/389,809.20 = 212,633.60/x
  3. Step 3: Cross multiply
    259,872.80x = 389,809.20 × 212,633.60
  4. Step 4: Simplify right side
    259,872.80x = 82,886,533,509.12
  5. Step 5: Solve for x
    x = 82,886,533,509.12/259,872.80
  6. Step 6: Final answer
    x = 318,950.40

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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.