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Finding the Fourth Proportional to 256,115.31, 384,214.62 and 96,203.69

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Solution

The fourth proportional to 256,115.31, 384,214.62 and 96,203.69 is: 144,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,115.31 : 384,214.62 = 96,203.69 : x
  2. Step 2: Convert to fraction form
    256,115.31/384,214.62 = 96,203.69/x
  3. Step 3: Cross multiply
    256,115.31x = 384,214.62 × 96,203.69
  4. Step 4: Simplify right side
    256,115.31x = 36,962,864,195.95
  5. Step 5: Solve for x
    x = 36,962,864,195.95/256,115.31
  6. Step 6: Final answer
    x = 144,321.18

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1.5x scale

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.