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Finding the Fourth Proportional to 820,057.52, 1,230,078.96 and 259,092

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Solution

The fourth proportional to 820,057.52, 1,230,078.96 and 259,092 is: 388,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,057.52 : 1,230,078.96 = 259,092 : x
  2. Step 2: Convert to fraction form
    820,057.52/1,230,078.96 = 259,092/x
  3. Step 3: Cross multiply
    820,057.52x = 1,230,078.96 × 259,092
  4. Step 4: Simplify right side
    820,057.52x = 318,703,617,904.32
  5. Step 5: Solve for x
    x = 318,703,617,904.32/820,057.52
  6. Step 6: Final answer
    x = 388,635.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.