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Finding the Fourth Proportional to 311,464.91, 428,894.26 and 288,858.35

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Solution

The fourth proportional to 311,464.91, 428,894.26 and 288,858.35 is: 397,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,464.91 : 428,894.26 = 288,858.35 : x
  2. Step 2: Convert to fraction form
    311,464.91/428,894.26 = 288,858.35/x
  3. Step 3: Cross multiply
    311,464.91x = 428,894.26 × 288,858.35
  4. Step 4: Simplify right side
    311,464.91x = 123,889,688,618.16
  5. Step 5: Solve for x
    x = 123,889,688,618.16/311,464.91
  6. Step 6: Final answer
    x = 397,764.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.