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Finding the Fourth Proportional to 395,043.32, 545,155.76 and 213,751.28

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Solution

The fourth proportional to 395,043.32, 545,155.76 and 213,751.28 is: 294,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,043.32 : 545,155.76 = 213,751.28 : x
  2. Step 2: Convert to fraction form
    395,043.32/545,155.76 = 213,751.28/x
  3. Step 3: Cross multiply
    395,043.32x = 545,155.76 × 213,751.28
  4. Step 4: Simplify right side
    395,043.32x = 116,527,737,704.84
  5. Step 5: Solve for x
    x = 116,527,737,704.84/395,043.32
  6. Step 6: Final answer
    x = 294,974.58

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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.