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Finding the Fourth Proportional to 256,583.76, 384,808.20 and 76,626.48

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Solution

The fourth proportional to 256,583.76, 384,808.20 and 76,626.48 is: 114,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,583.76 : 384,808.20 = 76,626.48 : x
  2. Step 2: Convert to fraction form
    256,583.76/384,808.20 = 76,626.48/x
  3. Step 3: Cross multiply
    256,583.76x = 384,808.20 × 76,626.48
  4. Step 4: Simplify right side
    256,583.76x = 29,486,497,841.14
  5. Step 5: Solve for x
    x = 29,486,497,841.14/256,583.76
  6. Step 6: Final answer
    x = 114,919.58

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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.