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Finding the Fourth Proportional to 255,996.36, 353,275.20 and 142,819.14

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Solution

The fourth proportional to 255,996.36, 353,275.20 and 142,819.14 is: 197,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996.36 : 353,275.20 = 142,819.14 : x
  2. Step 2: Convert to fraction form
    255,996.36/353,275.20 = 142,819.14/x
  3. Step 3: Cross multiply
    255,996.36x = 353,275.20 × 142,819.14
  4. Step 4: Simplify right side
    255,996.36x = 50,454,460,247.33
  5. Step 5: Solve for x
    x = 50,454,460,247.33/255,996.36
  6. Step 6: Final answer
    x = 197,090.54

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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.