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Finding the Fourth Proportional to 395,425.72, 545,684.74 and 214,133.48

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Solution

The fourth proportional to 395,425.72, 545,684.74 and 214,133.48 is: 295,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,425.72 : 545,684.74 = 214,133.48 : x
  2. Step 2: Convert to fraction form
    395,425.72/545,684.74 = 214,133.48/x
  3. Step 3: Cross multiply
    395,425.72x = 545,684.74 × 214,133.48
  4. Step 4: Simplify right side
    395,425.72x = 116,849,372,359.10
  5. Step 5: Solve for x
    x = 116,849,372,359.10/395,425.72
  6. Step 6: Final answer
    x = 295,502.71

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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.