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Finding the Fourth Proportional to 395,431.86, 545,693.18 and 214,139.62

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Solution

The fourth proportional to 395,431.86, 545,693.18 and 214,139.62 is: 295,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,431.86 : 545,693.18 = 214,139.62 : x
  2. Step 2: Convert to fraction form
    395,431.86/545,693.18 = 214,139.62/x
  3. Step 3: Cross multiply
    395,431.86x = 545,693.18 × 214,139.62
  4. Step 4: Simplify right side
    395,431.86x = 116,854,530,201.79
  5. Step 5: Solve for x
    x = 116,854,530,201.79/395,431.86
  6. Step 6: Final answer
    x = 295,511.17

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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.