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Finding the Fourth Proportional to 490,498.94, 676,611.50 and 308,898.63

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Solution

The fourth proportional to 490,498.94, 676,611.50 and 308,898.63 is: 426,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,498.94 : 676,611.50 = 308,898.63 : x
  2. Step 2: Convert to fraction form
    490,498.94/676,611.50 = 308,898.63/x
  3. Step 3: Cross multiply
    490,498.94x = 676,611.50 × 308,898.63
  4. Step 4: Simplify right side
    490,498.94x = 209,004,363,847.75
  5. Step 5: Solve for x
    x = 209,004,363,847.75/490,498.94
  6. Step 6: Final answer
    x = 426,105.64

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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.