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Finding the Fourth Proportional to 203,218.59, 280,353.24 and 142,828.68

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Solution

The fourth proportional to 203,218.59, 280,353.24 and 142,828.68 is: 197,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.59 : 280,353.24 = 142,828.68 : x
  2. Step 2: Convert to fraction form
    203,218.59/280,353.24 = 142,828.68/x
  3. Step 3: Cross multiply
    203,218.59x = 280,353.24 × 142,828.68
  4. Step 4: Simplify right side
    203,218.59x = 40,042,483,202.92
  5. Step 5: Solve for x
    x = 40,042,483,202.92/203,218.59
  6. Step 6: Final answer
    x = 197,041.44

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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.