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Finding the Fourth Proportional to 395,351.30, 545,585.64 and 214,065.38

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Solution

The fourth proportional to 395,351.30, 545,585.64 and 214,065.38 is: 295,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,351.30 : 545,585.64 = 214,065.38 : x
  2. Step 2: Convert to fraction form
    395,351.30/545,585.64 = 214,065.38/x
  3. Step 3: Cross multiply
    395,351.30x = 545,585.64 × 214,065.38
  4. Step 4: Simplify right side
    395,351.30x = 116,790,997,349.14
  5. Step 5: Solve for x
    x = 116,790,997,349.14/395,351.30
  6. Step 6: Final answer
    x = 295,410.68

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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.