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Finding the Fourth Proportional to 256,809.20, 385,674.60 and 186,767.60

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Solution

The fourth proportional to 256,809.20, 385,674.60 and 186,767.60 is: 280,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,809.20 : 385,674.60 = 186,767.60 : x
  2. Step 2: Convert to fraction form
    256,809.20/385,674.60 = 186,767.60/x
  3. Step 3: Cross multiply
    256,809.20x = 385,674.60 × 186,767.60
  4. Step 4: Simplify right side
    256,809.20x = 72,031,519,422.96
  5. Step 5: Solve for x
    x = 72,031,519,422.96/256,809.20
  6. Step 6: Final answer
    x = 280,486.52

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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.