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Finding the Fourth Proportional to 256,719.60, 384,820.20 and 116,578.80

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Solution

The fourth proportional to 256,719.60, 384,820.20 and 116,578.80 is: 174,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,719.60 : 384,820.20 = 116,578.80 : x
  2. Step 2: Convert to fraction form
    256,719.60/384,820.20 = 116,578.80/x
  3. Step 3: Cross multiply
    256,719.60x = 384,820.20 × 116,578.80
  4. Step 4: Simplify right side
    256,719.60x = 44,861,877,131.76
  5. Step 5: Solve for x
    x = 44,861,877,131.76/256,719.60
  6. Step 6: Final answer
    x = 174,750.49

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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.