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Finding the Fourth Proportional to 395,271.90, 545,475.40 and 213,983.83

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Solution

The fourth proportional to 395,271.90, 545,475.40 and 213,983.83 is: 295,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,271.90 : 545,475.40 = 213,983.83 : x
  2. Step 2: Convert to fraction form
    395,271.90/545,475.40 = 213,983.83/x
  3. Step 3: Cross multiply
    395,271.90x = 545,475.40 × 213,983.83
  4. Step 4: Simplify right side
    395,271.90x = 116,722,915,262.78
  5. Step 5: Solve for x
    x = 116,722,915,262.78/395,271.90
  6. Step 6: Final answer
    x = 295,297.78

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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.