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Finding the Fourth Proportional to 395,478.72, 545,757.91 and 214,186.50

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Solution

The fourth proportional to 395,478.72, 545,757.91 and 214,186.50 is: 295,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,478.72 : 545,757.91 = 214,186.50 : x
  2. Step 2: Convert to fraction form
    395,478.72/545,757.91 = 214,186.50/x
  3. Step 3: Cross multiply
    395,478.72x = 545,757.91 × 214,186.50
  4. Step 4: Simplify right side
    395,478.72x = 116,893,976,054.75
  5. Step 5: Solve for x
    x = 116,893,976,054.75/395,478.72
  6. Step 6: Final answer
    x = 295,575.89

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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.