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Finding the Fourth Proportional to 647,200.80, 970,455.60 and 272,800.80

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Solution

The fourth proportional to 647,200.80, 970,455.60 and 272,800.80 is: 409,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,200.80 : 970,455.60 = 272,800.80 : x
  2. Step 2: Convert to fraction form
    647,200.80/970,455.60 = 272,800.80/x
  3. Step 3: Cross multiply
    647,200.80x = 970,455.60 × 272,800.80
  4. Step 4: Simplify right side
    647,200.80x = 264,741,064,044.48
  5. Step 5: Solve for x
    x = 264,741,064,044.48/647,200.80
  6. Step 6: Final answer
    x = 409,055.53

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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.