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Finding the Fourth Proportional to 298,962.69, 412,578.45 and 178,087.47

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Solution

The fourth proportional to 298,962.69, 412,578.45 and 178,087.47 is: 245,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,962.69 : 412,578.45 = 178,087.47 : x
  2. Step 2: Convert to fraction form
    298,962.69/412,578.45 = 178,087.47/x
  3. Step 3: Cross multiply
    298,962.69x = 412,578.45 × 178,087.47
  4. Step 4: Simplify right side
    298,962.69x = 73,475,052,337.02
  5. Step 5: Solve for x
    x = 73,475,052,337.02/298,962.69
  6. Step 6: Final answer
    x = 245,766.63

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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.