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Finding the Fourth Proportional to 499,099.77, 688,678.07 and 284,243.85

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Solution

The fourth proportional to 499,099.77, 688,678.07 and 284,243.85 is: 392,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,099.77 : 688,678.07 = 284,243.85 : x
  2. Step 2: Convert to fraction form
    499,099.77/688,678.07 = 284,243.85/x
  3. Step 3: Cross multiply
    499,099.77x = 688,678.07 × 284,243.85
  4. Step 4: Simplify right side
    499,099.77x = 195,752,504,606.15
  5. Step 5: Solve for x
    x = 195,752,504,606.15/499,099.77
  6. Step 6: Final answer
    x = 392,211.17

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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.