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Finding the Fourth Proportional to 359,453.98, 496,074 and 198,340.12

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Solution

The fourth proportional to 359,453.98, 496,074 and 198,340.12 is: 273,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,453.98 : 496,074 = 198,340.12 : x
  2. Step 2: Convert to fraction form
    359,453.98/496,074 = 198,340.12/x
  3. Step 3: Cross multiply
    359,453.98x = 496,074 × 198,340.12
  4. Step 4: Simplify right side
    359,453.98x = 98,391,376,688.88
  5. Step 5: Solve for x
    x = 98,391,376,688.88/359,453.98
  6. Step 6: Final answer
    x = 273,724.54

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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.