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Finding the Fourth Proportional to 205,657.30, 308,048.55 and 170,665.30

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Solution

The fourth proportional to 205,657.30, 308,048.55 and 170,665.30 is: 255,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,657.30 : 308,048.55 = 170,665.30 : x
  2. Step 2: Convert to fraction form
    205,657.30/308,048.55 = 170,665.30/x
  3. Step 3: Cross multiply
    205,657.30x = 308,048.55 × 170,665.30
  4. Step 4: Simplify right side
    205,657.30x = 52,573,198,200.32
  5. Step 5: Solve for x
    x = 52,573,198,200.32/205,657.30
  6. Step 6: Final answer
    x = 255,634.97

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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.