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Finding the Fourth Proportional to 395,408.74, 592,990.45 and 142,656.37

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Solution

The fourth proportional to 395,408.74, 592,990.45 and 142,656.37 is: 213,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,408.74 : 592,990.45 = 142,656.37 : x
  2. Step 2: Convert to fraction form
    395,408.74/592,990.45 = 142,656.37/x
  3. Step 3: Cross multiply
    395,408.74x = 592,990.45 × 142,656.37
  4. Step 4: Simplify right side
    395,408.74x = 84,593,867,340.56
  5. Step 5: Solve for x
    x = 84,593,867,340.56/395,408.74
  6. Step 6: Final answer
    x = 213,940.31

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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.