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Finding the Fourth Proportional to 298,929.82, 412,289.88 and 191,509.84

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Solution

The fourth proportional to 298,929.82, 412,289.88 and 191,509.84 is: 264,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,929.82 : 412,289.88 = 191,509.84 : x
  2. Step 2: Convert to fraction form
    298,929.82/412,289.88 = 191,509.84/x
  3. Step 3: Cross multiply
    298,929.82x = 412,289.88 × 191,509.84
  4. Step 4: Simplify right side
    298,929.82x = 78,957,568,952.42
  5. Step 5: Solve for x
    x = 78,957,568,952.42/298,929.82
  6. Step 6: Final answer
    x = 264,134.13

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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.