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Finding the Fourth Proportional to 255,647.75, 352,778.00 and 140,920.43

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Solution

The fourth proportional to 255,647.75, 352,778.00 and 140,920.43 is: 194,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,647.75 : 352,778.00 = 140,920.43 : x
  2. Step 2: Convert to fraction form
    255,647.75/352,778.00 = 140,920.43/x
  3. Step 3: Cross multiply
    255,647.75x = 352,778.00 × 140,920.43
  4. Step 4: Simplify right side
    255,647.75x = 49,713,624,986.05
  5. Step 5: Solve for x
    x = 49,713,624,986.05/255,647.75
  6. Step 6: Final answer
    x = 194,461.43

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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.