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Finding the Fourth Proportional to 255,230.27, 382,845.53 and 105,305.78

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Solution

The fourth proportional to 255,230.27, 382,845.53 and 105,305.78 is: 157,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,230.27 : 382,845.53 = 105,305.78 : x
  2. Step 2: Convert to fraction form
    255,230.27/382,845.53 = 105,305.78/x
  3. Step 3: Cross multiply
    255,230.27x = 382,845.53 × 105,305.78
  4. Step 4: Simplify right side
    255,230.27x = 40,315,847,156.16
  5. Step 5: Solve for x
    x = 40,315,847,156.16/255,230.27
  6. Step 6: Final answer
    x = 157,958.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.