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Finding the Fourth Proportional to 395,321.69, 545,537.31 and 214,032.14

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Solution

The fourth proportional to 395,321.69, 545,537.31 and 214,032.14 is: 295,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,321.69 : 545,537.31 = 214,032.14 : x
  2. Step 2: Convert to fraction form
    395,321.69/545,537.31 = 214,032.14/x
  3. Step 3: Cross multiply
    395,321.69x = 545,537.31 × 214,032.14
  4. Step 4: Simplify right side
    395,321.69x = 116,762,517,909.14
  5. Step 5: Solve for x
    x = 116,762,517,909.14/395,321.69
  6. Step 6: Final answer
    x = 295,360.77

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1.5x scale

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.