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Finding the Fourth Proportional to 499,673.92, 689,532.78 and 284,883.16

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Solution

The fourth proportional to 499,673.92, 689,532.78 and 284,883.16 is: 393,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,673.92 : 689,532.78 = 284,883.16 : x
  2. Step 2: Convert to fraction form
    499,673.92/689,532.78 = 284,883.16/x
  3. Step 3: Cross multiply
    499,673.92x = 689,532.78 × 284,883.16
  4. Step 4: Simplify right side
    499,673.92x = 196,436,277,289.99
  5. Step 5: Solve for x
    x = 196,436,277,289.99/499,673.92
  6. Step 6: Final answer
    x = 393,128.94

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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.