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Finding the Fourth Proportional to 411,912.60, 617,868.90 and 253,627.80

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Solution

The fourth proportional to 411,912.60, 617,868.90 and 253,627.80 is: 380,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912.60 : 617,868.90 = 253,627.80 : x
  2. Step 2: Convert to fraction form
    411,912.60/617,868.90 = 253,627.80/x
  3. Step 3: Cross multiply
    411,912.60x = 617,868.90 × 253,627.80
  4. Step 4: Simplify right side
    411,912.60x = 156,708,729,795.42
  5. Step 5: Solve for x
    x = 156,708,729,795.42/411,912.60
  6. Step 6: Final answer
    x = 380,441.70

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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.