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Finding the Fourth Proportional to 359,736.40, 496,471.56 and 208,824.40

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Solution

The fourth proportional to 359,736.40, 496,471.56 and 208,824.40 is: 288,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,736.40 : 496,471.56 = 208,824.40 : x
  2. Step 2: Convert to fraction form
    359,736.40/496,471.56 = 208,824.40/x
  3. Step 3: Cross multiply
    359,736.40x = 496,471.56 × 208,824.40
  4. Step 4: Simplify right side
    359,736.40x = 103,675,375,634.06
  5. Step 5: Solve for x
    x = 103,675,375,634.06/359,736.40
  6. Step 6: Final answer
    x = 288,198.18

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1.5x scale

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.