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Finding the Fourth Proportional to 255,401.76, 352,456.74 and 142,226.76

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Solution

The fourth proportional to 255,401.76, 352,456.74 and 142,226.76 is: 196,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,401.76 : 352,456.74 = 142,226.76 : x
  2. Step 2: Convert to fraction form
    255,401.76/352,456.74 = 142,226.76/x
  3. Step 3: Cross multiply
    255,401.76x = 352,456.74 × 142,226.76
  4. Step 4: Simplify right side
    255,401.76x = 50,128,780,170.36
  5. Step 5: Solve for x
    x = 50,128,780,170.36/255,401.76
  6. Step 6: Final answer
    x = 196,274.22

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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.