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Finding the Fourth Proportional to 256,857.60, 385,286.40 and 157,324.80

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Solution

The fourth proportional to 256,857.60, 385,286.40 and 157,324.80 is: 235,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.60 : 385,286.40 = 157,324.80 : x
  2. Step 2: Convert to fraction form
    256,857.60/385,286.40 = 157,324.80/x
  3. Step 3: Cross multiply
    256,857.60x = 385,286.40 × 157,324.80
  4. Step 4: Simplify right side
    256,857.60x = 60,615,105,822.72
  5. Step 5: Solve for x
    x = 60,615,105,822.72/256,857.60
  6. Step 6: Final answer
    x = 235,987.20

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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.