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Finding the Fourth Proportional to 256,107.60, 383,815.80 and 182,149.20

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Solution

The fourth proportional to 256,107.60, 383,815.80 and 182,149.20 is: 272,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,107.60 : 383,815.80 = 182,149.20 : x
  2. Step 2: Convert to fraction form
    256,107.60/383,815.80 = 182,149.20/x
  3. Step 3: Cross multiply
    256,107.60x = 383,815.80 × 182,149.20
  4. Step 4: Simplify right side
    256,107.60x = 69,911,740,917.36
  5. Step 5: Solve for x
    x = 69,911,740,917.36/256,107.60
  6. Step 6: Final answer
    x = 272,978.00

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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.