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Finding the Fourth Proportional to 419,409.44, 579,169.68 and 266,498

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Solution

The fourth proportional to 419,409.44, 579,169.68 and 266,498 is: 368,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409.44 : 579,169.68 = 266,498 : x
  2. Step 2: Convert to fraction form
    419,409.44/579,169.68 = 266,498/x
  3. Step 3: Cross multiply
    419,409.44x = 579,169.68 × 266,498
  4. Step 4: Simplify right side
    419,409.44x = 154,347,561,380.64
  5. Step 5: Solve for x
    x = 154,347,561,380.64/419,409.44
  6. Step 6: Final answer
    x = 368,011.65

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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.