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Finding the Fourth Proportional to 500,813.75, 691,362.30 and 285,912.24

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Solution

The fourth proportional to 500,813.75, 691,362.30 and 285,912.24 is: 394,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,813.75 : 691,362.30 = 285,912.24 : x
  2. Step 2: Convert to fraction form
    500,813.75/691,362.30 = 285,912.24/x
  3. Step 3: Cross multiply
    500,813.75x = 691,362.30 × 285,912.24
  4. Step 4: Simplify right side
    500,813.75x = 197,668,943,844.55
  5. Step 5: Solve for x
    x = 197,668,943,844.55/500,813.75
  6. Step 6: Final answer
    x = 394,695.52

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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.