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Finding the Fourth Proportional to 256,616.20, 384,195.30 and 242,651.80

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Solution

The fourth proportional to 256,616.20, 384,195.30 and 242,651.80 is: 363,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,616.20 : 384,195.30 = 242,651.80 : x
  2. Step 2: Convert to fraction form
    256,616.20/384,195.30 = 242,651.80/x
  3. Step 3: Cross multiply
    256,616.20x = 384,195.30 × 242,651.80
  4. Step 4: Simplify right side
    256,616.20x = 93,225,681,096.54
  5. Step 5: Solve for x
    x = 93,225,681,096.54/256,616.20
  6. Step 6: Final answer
    x = 363,288.37

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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.