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Finding the Fourth Proportional to 507,146.25, 699,883.70 and 280,791.75

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Solution

The fourth proportional to 507,146.25, 699,883.70 and 280,791.75 is: 387,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,146.25 : 699,883.70 = 280,791.75 : x
  2. Step 2: Convert to fraction form
    507,146.25/699,883.70 = 280,791.75/x
  3. Step 3: Cross multiply
    507,146.25x = 699,883.70 × 280,791.75
  4. Step 4: Simplify right side
    507,146.25x = 196,521,567,515.52
  5. Step 5: Solve for x
    x = 196,521,567,515.52/507,146.25
  6. Step 6: Final answer
    x = 387,504.72

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1.5x scale

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.