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Finding the Fourth Proportional to 507,147.75, 699,885.77 and 280,793.25

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Solution

The fourth proportional to 507,147.75, 699,885.77 and 280,793.25 is: 387,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,147.75 : 699,885.77 = 280,793.25 : x
  2. Step 2: Convert to fraction form
    507,147.75/699,885.77 = 280,793.25/x
  3. Step 3: Cross multiply
    507,147.75x = 699,885.77 × 280,793.25
  4. Step 4: Simplify right side
    507,147.75x = 196,523,199,987.05
  5. Step 5: Solve for x
    x = 196,523,199,987.05/507,147.75
  6. Step 6: Final answer
    x = 387,506.80

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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.