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Finding the Fourth Proportional to 256,619.20, 384,199.80 and 242,654.80

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Solution

The fourth proportional to 256,619.20, 384,199.80 and 242,654.80 is: 363,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,619.20 : 384,199.80 = 242,654.80 : x
  2. Step 2: Convert to fraction form
    256,619.20/384,199.80 = 242,654.80/x
  3. Step 3: Cross multiply
    256,619.20x = 384,199.80 × 242,654.80
  4. Step 4: Simplify right side
    256,619.20x = 93,227,925,629.04
  5. Step 5: Solve for x
    x = 93,227,925,629.04/256,619.20
  6. Step 6: Final answer
    x = 363,292.87

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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.