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Finding the Fourth Proportional to 306,082.60, 459,123.90 and 118,972.60

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Solution

The fourth proportional to 306,082.60, 459,123.90 and 118,972.60 is: 178,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082.60 : 459,123.90 = 118,972.60 : x
  2. Step 2: Convert to fraction form
    306,082.60/459,123.90 = 118,972.60/x
  3. Step 3: Cross multiply
    306,082.60x = 459,123.90 × 118,972.60
  4. Step 4: Simplify right side
    306,082.60x = 54,623,164,105.14
  5. Step 5: Solve for x
    x = 54,623,164,105.14/306,082.60
  6. Step 6: Final answer
    x = 178,458.90

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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.