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Finding the Fourth Proportional to 492,097.26, 678,952.68 and 320,268.18

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Solution

The fourth proportional to 492,097.26, 678,952.68 and 320,268.18 is: 441,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.26 : 678,952.68 = 320,268.18 : x
  2. Step 2: Convert to fraction form
    492,097.26/678,952.68 = 320,268.18/x
  3. Step 3: Cross multiply
    492,097.26x = 678,952.68 × 320,268.18
  4. Step 4: Simplify right side
    492,097.26x = 217,446,939,129.72
  5. Step 5: Solve for x
    x = 217,446,939,129.72/492,097.26
  6. Step 6: Final answer
    x = 441,877.97

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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.