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Finding the Fourth Proportional to 499,828.60, 749,086.80 and 200,063.80

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Solution

The fourth proportional to 499,828.60, 749,086.80 and 200,063.80 is: 299,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,828.60 : 749,086.80 = 200,063.80 : x
  2. Step 2: Convert to fraction form
    499,828.60/749,086.80 = 200,063.80/x
  3. Step 3: Cross multiply
    499,828.60x = 749,086.80 × 200,063.80
  4. Step 4: Simplify right side
    499,828.60x = 149,865,151,737.84
  5. Step 5: Solve for x
    x = 149,865,151,737.84/499,828.60
  6. Step 6: Final answer
    x = 299,833.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.