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Finding the Fourth Proportional to 298,931.82, 412,292.64 and 191,511.84

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Solution

The fourth proportional to 298,931.82, 412,292.64 and 191,511.84 is: 264,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,931.82 : 412,292.64 = 191,511.84 : x
  2. Step 2: Convert to fraction form
    298,931.82/412,292.64 = 191,511.84/x
  3. Step 3: Cross multiply
    298,931.82x = 412,292.64 × 191,511.84
  4. Step 4: Simplify right side
    298,931.82x = 78,958,922,104.86
  5. Step 5: Solve for x
    x = 78,958,922,104.86/298,931.82
  6. Step 6: Final answer
    x = 264,136.89

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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.