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Finding the Fourth Proportional to 298,919.94, 412,656.80 and 207,108.86

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Solution

The fourth proportional to 298,919.94, 412,656.80 and 207,108.86 is: 285,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,919.94 : 412,656.80 = 207,108.86 : x
  2. Step 2: Convert to fraction form
    298,919.94/412,656.80 = 207,108.86/x
  3. Step 3: Cross multiply
    298,919.94x = 412,656.80 × 207,108.86
  4. Step 4: Simplify right side
    298,919.94x = 85,464,876,320.42
  5. Step 5: Solve for x
    x = 85,464,876,320.42/298,919.94
  6. Step 6: Final answer
    x = 285,912.26

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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.