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Finding the Fourth Proportional to 395,478.96, 545,758.25 and 214,186.75

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Solution

The fourth proportional to 395,478.96, 545,758.25 and 214,186.75 is: 295,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,478.96 : 545,758.25 = 214,186.75 : x
  2. Step 2: Convert to fraction form
    395,478.96/545,758.25 = 214,186.75/x
  3. Step 3: Cross multiply
    395,478.96x = 545,758.25 × 214,186.75
  4. Step 4: Simplify right side
    395,478.96x = 116,894,185,853.19
  5. Step 5: Solve for x
    x = 116,894,185,853.19/395,478.96
  6. Step 6: Final answer
    x = 295,576.24

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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.