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Finding the Fourth Proportional to 459,846.06, 634,578.17 and 287,858.88

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Solution

The fourth proportional to 459,846.06, 634,578.17 and 287,858.88 is: 397,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,846.06 : 634,578.17 = 287,858.88 : x
  2. Step 2: Convert to fraction form
    459,846.06/634,578.17 = 287,858.88/x
  3. Step 3: Cross multiply
    459,846.06x = 634,578.17 × 287,858.88
  4. Step 4: Simplify right side
    459,846.06x = 182,668,959,849.36
  5. Step 5: Solve for x
    x = 182,668,959,849.36/459,846.06
  6. Step 6: Final answer
    x = 397,239.37

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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.