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Finding the Fourth Proportional to 256,793.08, 384,980.88 and 107,144.89

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Solution

The fourth proportional to 256,793.08, 384,980.88 and 107,144.89 is: 160,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,793.08 : 384,980.88 = 107,144.89 : x
  2. Step 2: Convert to fraction form
    256,793.08/384,980.88 = 107,144.89/x
  3. Step 3: Cross multiply
    256,793.08x = 384,980.88 × 107,144.89
  4. Step 4: Simplify right side
    256,793.08x = 41,248,734,039.70
  5. Step 5: Solve for x
    x = 41,248,734,039.70/256,793.08
  6. Step 6: Final answer
    x = 160,630.24

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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.