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Finding the Fourth Proportional to 460,906, 636,050.44 and 259,709.20

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Solution

The fourth proportional to 460,906, 636,050.44 and 259,709.20 is: 358,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,906 : 636,050.44 = 259,709.20 : x
  2. Step 2: Convert to fraction form
    460,906/636,050.44 = 259,709.20/x
  3. Step 3: Cross multiply
    460,906x = 636,050.44 × 259,709.20
  4. Step 4: Simplify right side
    460,906x = 165,188,150,932.05
  5. Step 5: Solve for x
    x = 165,188,150,932.05/460,906
  6. Step 6: Final answer
    x = 358,398.79

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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.