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Finding the Fourth Proportional to 499,043.70, 688,679.55 and 284,183.84

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Solution

The fourth proportional to 499,043.70, 688,679.55 and 284,183.84 is: 392,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,043.70 : 688,679.55 = 284,183.84 : x
  2. Step 2: Convert to fraction form
    499,043.70/688,679.55 = 284,183.84/x
  3. Step 3: Cross multiply
    499,043.70x = 688,679.55 × 284,183.84
  4. Step 4: Simplify right side
    499,043.70x = 195,711,600,770.17
  5. Step 5: Solve for x
    x = 195,711,600,770.17/499,043.70
  6. Step 6: Final answer
    x = 392,173.27

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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.