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Finding the Fourth Proportional to 359,716.20, 496,411.84 and 198,567.78

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Solution

The fourth proportional to 359,716.20, 496,411.84 and 198,567.78 is: 274,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,716.20 : 496,411.84 = 198,567.78 : x
  2. Step 2: Convert to fraction form
    359,716.20/496,411.84 = 198,567.78/x
  3. Step 3: Cross multiply
    359,716.20x = 496,411.84 × 198,567.78
  4. Step 4: Simplify right side
    359,716.20x = 98,571,397,034.52
  5. Step 5: Solve for x
    x = 98,571,397,034.52/359,716.20
  6. Step 6: Final answer
    x = 274,025.46

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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.