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Finding the Fourth Proportional to 359,645.12, 496,274.93 and 198,489.77

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Solution

The fourth proportional to 359,645.12, 496,274.93 and 198,489.77 is: 273,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,645.12 : 496,274.93 = 198,489.77 : x
  2. Step 2: Convert to fraction form
    359,645.12/496,274.93 = 198,489.77/x
  3. Step 3: Cross multiply
    359,645.12x = 496,274.93 × 198,489.77
  4. Step 4: Simplify right side
    359,645.12x = 98,505,493,238.64
  5. Step 5: Solve for x
    x = 98,505,493,238.64/359,645.12
  6. Step 6: Final answer
    x = 273,896.37

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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.