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Finding the Fourth Proportional to 395,408.72, 592,990.44 and 142,656.36

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Solution

The fourth proportional to 395,408.72, 592,990.44 and 142,656.36 is: 213,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,408.72 : 592,990.44 = 142,656.36 : x
  2. Step 2: Convert to fraction form
    395,408.72/592,990.44 = 142,656.36/x
  3. Step 3: Cross multiply
    395,408.72x = 592,990.44 × 142,656.36
  4. Step 4: Simplify right side
    395,408.72x = 84,593,854,926.52
  5. Step 5: Solve for x
    x = 84,593,854,926.52/395,408.72
  6. Step 6: Final answer
    x = 213,940.29

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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.