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Finding the Fourth Proportional to 359,709.80, 496,396.72 and 198,564.80

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Solution

The fourth proportional to 359,709.80, 496,396.72 and 198,564.80 is: 274,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,709.80 : 496,396.72 = 198,564.80 : x
  2. Step 2: Convert to fraction form
    359,709.80/496,396.72 = 198,564.80/x
  3. Step 3: Cross multiply
    359,709.80x = 496,396.72 × 198,564.80
  4. Step 4: Simplify right side
    359,709.80x = 98,566,915,427.46
  5. Step 5: Solve for x
    x = 98,566,915,427.46/359,709.80
  6. Step 6: Final answer
    x = 274,017.88

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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.