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Finding the Fourth Proportional to 407,550.80, 611,129.56 and 170,829.92

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Solution

The fourth proportional to 407,550.80, 611,129.56 and 170,829.92 is: 256,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,550.80 : 611,129.56 = 170,829.92 : x
  2. Step 2: Convert to fraction form
    407,550.80/611,129.56 = 170,829.92/x
  3. Step 3: Cross multiply
    407,550.80x = 611,129.56 × 170,829.92
  4. Step 4: Simplify right side
    407,550.80x = 104,399,213,844.44
  5. Step 5: Solve for x
    x = 104,399,213,844.44/407,550.80
  6. Step 6: Final answer
    x = 256,162.46

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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.