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Finding the Fourth Proportional to 359,629.84, 496,288.68 and 198,485

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Solution

The fourth proportional to 359,629.84, 496,288.68 and 198,485 is: 273,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,629.84 : 496,288.68 = 198,485 : x
  2. Step 2: Convert to fraction form
    359,629.84/496,288.68 = 198,485/x
  3. Step 3: Cross multiply
    359,629.84x = 496,288.68 × 198,485
  4. Step 4: Simplify right side
    359,629.84x = 98,505,858,649.80
  5. Step 5: Solve for x
    x = 98,505,858,649.80/359,629.84
  6. Step 6: Final answer
    x = 273,909.02

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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.