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Finding the Fourth Proportional to 545,198.53, 817,965.16 and 279,145.83

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Solution

The fourth proportional to 545,198.53, 817,965.16 and 279,145.83 is: 418,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,198.53 : 817,965.16 = 279,145.83 : x
  2. Step 2: Convert to fraction form
    545,198.53/817,965.16 = 279,145.83/x
  3. Step 3: Cross multiply
    545,198.53x = 817,965.16 × 279,145.83
  4. Step 4: Simplify right side
    545,198.53x = 228,331,563,499.28
  5. Step 5: Solve for x
    x = 228,331,563,499.28/545,198.53
  6. Step 6: Final answer
    x = 418,804.44

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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.