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Finding the Fourth Proportional to 352,975.31, 487,148.43 and 202,069.07

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Solution

The fourth proportional to 352,975.31, 487,148.43 and 202,069.07 is: 278,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,975.31 : 487,148.43 = 202,069.07 : x
  2. Step 2: Convert to fraction form
    352,975.31/487,148.43 = 202,069.07/x
  3. Step 3: Cross multiply
    352,975.31x = 487,148.43 × 202,069.07
  4. Step 4: Simplify right side
    352,975.31x = 98,437,626,755.97
  5. Step 5: Solve for x
    x = 98,437,626,755.97/352,975.31
  6. Step 6: Final answer
    x = 278,879.64

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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.