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Finding the Fourth Proportional to 300,080.60, 414,162.16 and 172,829.88

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Solution

The fourth proportional to 300,080.60, 414,162.16 and 172,829.88 is: 238,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,080.60 : 414,162.16 = 172,829.88 : x
  2. Step 2: Convert to fraction form
    300,080.60/414,162.16 = 172,829.88/x
  3. Step 3: Cross multiply
    300,080.60x = 414,162.16 × 172,829.88
  4. Step 4: Simplify right side
    300,080.60x = 71,579,596,413.34
  5. Step 5: Solve for x
    x = 71,579,596,413.34/300,080.60
  6. Step 6: Final answer
    x = 238,534.57

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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.