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Finding the Fourth Proportional to 256,670.30, 385,060.40 and 76,769.84

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Solution

The fourth proportional to 256,670.30, 385,060.40 and 76,769.84 is: 115,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,670.30 : 385,060.40 = 76,769.84 : x
  2. Step 2: Convert to fraction form
    256,670.30/385,060.40 = 76,769.84/x
  3. Step 3: Cross multiply
    256,670.30x = 385,060.40 × 76,769.84
  4. Step 4: Simplify right side
    256,670.30x = 29,561,022,989.18
  5. Step 5: Solve for x
    x = 29,561,022,989.18/256,670.30
  6. Step 6: Final answer
    x = 115,171.19

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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.