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Finding the Fourth Proportional to 395,447.08, 593,171.51 and 142,905.95

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Solution

The fourth proportional to 395,447.08, 593,171.51 and 142,905.95 is: 214,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,447.08 : 593,171.51 = 142,905.95 : x
  2. Step 2: Convert to fraction form
    395,447.08/593,171.51 = 142,905.95/x
  3. Step 3: Cross multiply
    395,447.08x = 593,171.51 × 142,905.95
  4. Step 4: Simplify right side
    395,447.08x = 84,767,735,025.20
  5. Step 5: Solve for x
    x = 84,767,735,025.20/395,447.08
  6. Step 6: Final answer
    x = 214,359.24

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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.