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Finding the Fourth Proportional to 256,514.60, 384,771.90 and 138,416.60

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Solution

The fourth proportional to 256,514.60, 384,771.90 and 138,416.60 is: 207,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,514.60 : 384,771.90 = 138,416.60 : x
  2. Step 2: Convert to fraction form
    256,514.60/384,771.90 = 138,416.60/x
  3. Step 3: Cross multiply
    256,514.60x = 384,771.90 × 138,416.60
  4. Step 4: Simplify right side
    256,514.60x = 53,258,818,173.54
  5. Step 5: Solve for x
    x = 53,258,818,173.54/256,514.60
  6. Step 6: Final answer
    x = 207,624.90

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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.