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Finding the Fourth Proportional to 522,114.39, 720,648.50 and 320,793.75

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Solution

The fourth proportional to 522,114.39, 720,648.50 and 320,793.75 is: 442,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,114.39 : 720,648.50 = 320,793.75 : x
  2. Step 2: Convert to fraction form
    522,114.39/720,648.50 = 320,793.75/x
  3. Step 3: Cross multiply
    522,114.39x = 720,648.50 × 320,793.75
  4. Step 4: Simplify right side
    522,114.39x = 231,179,533,142.91
  5. Step 5: Solve for x
    x = 231,179,533,142.91/522,114.39
  6. Step 6: Final answer
    x = 442,775.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.