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Finding the Fourth Proportional to 499,915.60, 749,869.85 and 200,391.84

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Solution

The fourth proportional to 499,915.60, 749,869.85 and 200,391.84 is: 300,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,915.60 : 749,869.85 = 200,391.84 : x
  2. Step 2: Convert to fraction form
    499,915.60/749,869.85 = 200,391.84/x
  3. Step 3: Cross multiply
    499,915.60x = 749,869.85 × 200,391.84
  4. Step 4: Simplify right side
    499,915.60x = 150,267,799,503.00
  5. Step 5: Solve for x
    x = 150,267,799,503.00/499,915.60
  6. Step 6: Final answer
    x = 300,586.34

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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.