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Finding the Fourth Proportional to 256,811.20, 385,677.60 and 186,769.60

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Solution

The fourth proportional to 256,811.20, 385,677.60 and 186,769.60 is: 280,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,811.20 : 385,677.60 = 186,769.60 : x
  2. Step 2: Convert to fraction form
    256,811.20/385,677.60 = 186,769.60/x
  3. Step 3: Cross multiply
    256,811.20x = 385,677.60 × 186,769.60
  4. Step 4: Simplify right side
    256,811.20x = 72,032,851,080.96
  5. Step 5: Solve for x
    x = 72,032,851,080.96/256,811.20
  6. Step 6: Final answer
    x = 280,489.52

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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.