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Finding the Fourth Proportional to 298,513.85, 447,304.21 and 172,231.61

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Solution

The fourth proportional to 298,513.85, 447,304.21 and 172,231.61 is: 258,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.85 : 447,304.21 = 172,231.61 : x
  2. Step 2: Convert to fraction form
    298,513.85/447,304.21 = 172,231.61/x
  3. Step 3: Cross multiply
    298,513.85x = 447,304.21 × 172,231.61
  4. Step 4: Simplify right side
    298,513.85x = 77,039,921,580.98
  5. Step 5: Solve for x
    x = 77,039,921,580.98/298,513.85
  6. Step 6: Final answer
    x = 258,078.22

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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.