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Finding the Fourth Proportional to 306,082.70, 459,124.05 and 257,093.90

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Solution

The fourth proportional to 306,082.70, 459,124.05 and 257,093.90 is: 385,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082.70 : 459,124.05 = 257,093.90 : x
  2. Step 2: Convert to fraction form
    306,082.70/459,124.05 = 257,093.90/x
  3. Step 3: Cross multiply
    306,082.70x = 459,124.05 × 257,093.90
  4. Step 4: Simplify right side
    306,082.70x = 118,037,992,598.30
  5. Step 5: Solve for x
    x = 118,037,992,598.30/306,082.70
  6. Step 6: Final answer
    x = 385,640.85

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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.