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Finding the Fourth Proportional to 395,302.68, 545,513.88 and 214,009.98

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Solution

The fourth proportional to 395,302.68, 545,513.88 and 214,009.98 is: 295,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,302.68 : 545,513.88 = 214,009.98 : x
  2. Step 2: Convert to fraction form
    395,302.68/545,513.88 = 214,009.98/x
  3. Step 3: Cross multiply
    395,302.68x = 545,513.88 × 214,009.98
  4. Step 4: Simplify right side
    395,302.68x = 116,745,414,548.52
  5. Step 5: Solve for x
    x = 116,745,414,548.52/395,302.68
  6. Step 6: Final answer
    x = 295,331.71

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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.