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Finding the Fourth Proportional to 499,563.11, 689,414.63 and 284,668.49

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Solution

The fourth proportional to 499,563.11, 689,414.63 and 284,668.49 is: 392,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,563.11 : 689,414.63 = 284,668.49 : x
  2. Step 2: Convert to fraction form
    499,563.11/689,414.63 = 284,668.49/x
  3. Step 3: Cross multiply
    499,563.11x = 689,414.63 × 284,668.49
  4. Step 4: Simplify right side
    499,563.11x = 196,254,622,006.20
  5. Step 5: Solve for x
    x = 196,254,622,006.20/499,563.11
  6. Step 6: Final answer
    x = 392,852.51

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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.