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Finding the Fourth Proportional to 359,727.29, 496,410.65 and 198,578.88

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Solution

The fourth proportional to 359,727.29, 496,410.65 and 198,578.88 is: 274,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,727.29 : 496,410.65 = 198,578.88 : x
  2. Step 2: Convert to fraction form
    359,727.29/496,410.65 = 198,578.88/x
  3. Step 3: Cross multiply
    359,727.29x = 496,410.65 × 198,578.88
  4. Step 4: Simplify right side
    359,727.29x = 98,576,668,694.19
  5. Step 5: Solve for x
    x = 98,576,668,694.19/359,727.29
  6. Step 6: Final answer
    x = 274,031.67

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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.