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Finding the Fourth Proportional to 545,843.64, 817,860.21 and 331,964.61

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Solution

The fourth proportional to 545,843.64, 817,860.21 and 331,964.61 is: 497,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,843.64 : 817,860.21 = 331,964.61 : x
  2. Step 2: Convert to fraction form
    545,843.64/817,860.21 = 331,964.61/x
  3. Step 3: Cross multiply
    545,843.64x = 817,860.21 × 331,964.61
  4. Step 4: Simplify right side
    545,843.64x = 271,500,645,647.17
  5. Step 5: Solve for x
    x = 271,500,645,647.17/545,843.64
  6. Step 6: Final answer
    x = 497,396.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.