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Finding the Fourth Proportional to 390,120.75, 538,410.44 and 220,365.81

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Solution

The fourth proportional to 390,120.75, 538,410.44 and 220,365.81 is: 304,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120.75 : 538,410.44 = 220,365.81 : x
  2. Step 2: Convert to fraction form
    390,120.75/538,410.44 = 220,365.81/x
  3. Step 3: Cross multiply
    390,120.75x = 538,410.44 × 220,365.81
  4. Step 4: Simplify right side
    390,120.75x = 118,647,253,273.97
  5. Step 5: Solve for x
    x = 118,647,253,273.97/390,120.75
  6. Step 6: Final answer
    x = 304,129.56

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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.