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Finding the Fourth Proportional to 490,247.64, 735,653.34 and 205,913.34

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Solution

The fourth proportional to 490,247.64, 735,653.34 and 205,913.34 is: 308,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,247.64 : 735,653.34 = 205,913.34 : x
  2. Step 2: Convert to fraction form
    490,247.64/735,653.34 = 205,913.34/x
  3. Step 3: Cross multiply
    490,247.64x = 735,653.34 × 205,913.34
  4. Step 4: Simplify right side
    490,247.64x = 151,480,836,321.56
  5. Step 5: Solve for x
    x = 151,480,836,321.56/490,247.64
  6. Step 6: Final answer
    x = 308,988.40

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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.