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Finding the Fourth Proportional to 490,915.22, 735,191.84 and 279,913.46

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Solution

The fourth proportional to 490,915.22, 735,191.84 and 279,913.46 is: 419,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,915.22 : 735,191.84 = 279,913.46 : x
  2. Step 2: Convert to fraction form
    490,915.22/735,191.84 = 279,913.46/x
  3. Step 3: Cross multiply
    490,915.22x = 735,191.84 × 279,913.46
  4. Step 4: Simplify right side
    490,915.22x = 205,790,091,698.17
  5. Step 5: Solve for x
    x = 205,790,091,698.17/490,915.22
  6. Step 6: Final answer
    x = 419,196.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.