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Finding the Fourth Proportional to 395,273.28, 545,472.72 and 213,980.88

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Solution

The fourth proportional to 395,273.28, 545,472.72 and 213,980.88 is: 295,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,273.28 : 545,472.72 = 213,980.88 : x
  2. Step 2: Convert to fraction form
    395,273.28/545,472.72 = 213,980.88/x
  3. Step 3: Cross multiply
    395,273.28x = 545,472.72 × 213,980.88
  4. Step 4: Simplify right side
    395,273.28x = 116,720,732,641.59
  5. Step 5: Solve for x
    x = 116,720,732,641.59/395,273.28
  6. Step 6: Final answer
    x = 295,291.23

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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.