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Finding the Fourth Proportional to 256,780.80, 384,998.40 and 116,467.20

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Solution

The fourth proportional to 256,780.80, 384,998.40 and 116,467.20 is: 174,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,780.80 : 384,998.40 = 116,467.20 : x
  2. Step 2: Convert to fraction form
    256,780.80/384,998.40 = 116,467.20/x
  3. Step 3: Cross multiply
    256,780.80x = 384,998.40 × 116,467.20
  4. Step 4: Simplify right side
    256,780.80x = 44,839,685,652.48
  5. Step 5: Solve for x
    x = 44,839,685,652.48/256,780.80
  6. Step 6: Final answer
    x = 174,622.42

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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.