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Finding the Fourth Proportional to 283,473.37, 391,194.31 and 156,148.66

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Solution

The fourth proportional to 283,473.37, 391,194.31 and 156,148.66 is: 215,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,473.37 : 391,194.31 = 156,148.66 : x
  2. Step 2: Convert to fraction form
    283,473.37/391,194.31 = 156,148.66/x
  3. Step 3: Cross multiply
    283,473.37x = 391,194.31 × 156,148.66
  4. Step 4: Simplify right side
    283,473.37x = 61,084,467,697.52
  5. Step 5: Solve for x
    x = 61,084,467,697.52/283,473.37
  6. Step 6: Final answer
    x = 215,485.73

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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.