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Finding the Fourth Proportional to 395,468.40, 593,087.40 and 142,719.60

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Solution

The fourth proportional to 395,468.40, 593,087.40 and 142,719.60 is: 214,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,468.40 : 593,087.40 = 142,719.60 : x
  2. Step 2: Convert to fraction form
    395,468.40/593,087.40 = 142,719.60/x
  3. Step 3: Cross multiply
    395,468.40x = 593,087.40 × 142,719.60
  4. Step 4: Simplify right side
    395,468.40x = 84,645,196,493.04
  5. Step 5: Solve for x
    x = 84,645,196,493.04/395,468.40
  6. Step 6: Final answer
    x = 214,037.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.