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Finding the Fourth Proportional to 263,778.76, 364,015.14 and 142,920.04

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Solution

The fourth proportional to 263,778.76, 364,015.14 and 142,920.04 is: 197,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,778.76 : 364,015.14 = 142,920.04 : x
  2. Step 2: Convert to fraction form
    263,778.76/364,015.14 = 142,920.04/x
  3. Step 3: Cross multiply
    263,778.76x = 364,015.14 × 142,920.04
  4. Step 4: Simplify right side
    263,778.76x = 52,025,058,369.41
  5. Step 5: Solve for x
    x = 52,025,058,369.41/263,778.76
  6. Step 6: Final answer
    x = 197,229.90

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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.