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Finding the Fourth Proportional to 256,155.60, 383,743.80 and 137,787.60

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Solution

The fourth proportional to 256,155.60, 383,743.80 and 137,787.60 is: 206,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,155.60 : 383,743.80 = 137,787.60 : x
  2. Step 2: Convert to fraction form
    256,155.60/383,743.80 = 137,787.60/x
  3. Step 3: Cross multiply
    256,155.60x = 383,743.80 × 137,787.60
  4. Step 4: Simplify right side
    256,155.60x = 52,875,137,216.88
  5. Step 5: Solve for x
    x = 52,875,137,216.88/256,155.60
  6. Step 6: Final answer
    x = 206,418.04

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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.