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Finding the Fourth Proportional to 395,483.78, 545,764.47 and 214,191.56

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Solution

The fourth proportional to 395,483.78, 545,764.47 and 214,191.56 is: 295,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,483.78 : 545,764.47 = 214,191.56 : x
  2. Step 2: Convert to fraction form
    395,483.78/545,764.47 = 214,191.56/x
  3. Step 3: Cross multiply
    395,483.78x = 545,764.47 × 214,191.56
  4. Step 4: Simplify right side
    395,483.78x = 116,898,143,221.87
  5. Step 5: Solve for x
    x = 116,898,143,221.87/395,483.78
  6. Step 6: Final answer
    x = 295,582.65

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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.