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Finding the Fourth Proportional to 647,883.20, 971,824.80 and 227,201.60

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Solution

The fourth proportional to 647,883.20, 971,824.80 and 227,201.60 is: 340,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,883.20 : 971,824.80 = 227,201.60 : x
  2. Step 2: Convert to fraction form
    647,883.20/971,824.80 = 227,201.60/x
  3. Step 3: Cross multiply
    647,883.20x = 971,824.80 × 227,201.60
  4. Step 4: Simplify right side
    647,883.20x = 220,800,149,479.68
  5. Step 5: Solve for x
    x = 220,800,149,479.68/647,883.20
  6. Step 6: Final answer
    x = 340,802.40

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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.