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Finding the Fourth Proportional to 647,542.80, 970,893.72 and 310,575.60

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Solution

The fourth proportional to 647,542.80, 970,893.72 and 310,575.60 is: 465,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,542.80 : 970,893.72 = 310,575.60 : x
  2. Step 2: Convert to fraction form
    647,542.80/970,893.72 = 310,575.60/x
  3. Step 3: Cross multiply
    647,542.80x = 970,893.72 × 310,575.60
  4. Step 4: Simplify right side
    647,542.80x = 301,535,899,625.23
  5. Step 5: Solve for x
    x = 301,535,899,625.23/647,542.80
  6. Step 6: Final answer
    x = 465,661.73

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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.