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Finding the Fourth Proportional to 362,143.45, 499,819.83 and 209,154.16

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Solution

The fourth proportional to 362,143.45, 499,819.83 and 209,154.16 is: 288,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,143.45 : 499,819.83 = 209,154.16 : x
  2. Step 2: Convert to fraction form
    362,143.45/499,819.83 = 209,154.16/x
  3. Step 3: Cross multiply
    362,143.45x = 499,819.83 × 209,154.16
  4. Step 4: Simplify right side
    362,143.45x = 104,539,396,694.99
  5. Step 5: Solve for x
    x = 104,539,396,694.99/362,143.45
  6. Step 6: Final answer
    x = 288,668.47

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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.