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Finding the Fourth Proportional to 256,728.30, 385,128.90 and 79,216.80

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Solution

The fourth proportional to 256,728.30, 385,128.90 and 79,216.80 is: 118,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728.30 : 385,128.90 = 79,216.80 : x
  2. Step 2: Convert to fraction form
    256,728.30/385,128.90 = 79,216.80/x
  3. Step 3: Cross multiply
    256,728.30x = 385,128.90 × 79,216.80
  4. Step 4: Simplify right side
    256,728.30x = 30,508,679,045.52
  5. Step 5: Solve for x
    x = 30,508,679,045.52/256,728.30
  6. Step 6: Final answer
    x = 118,836.45

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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.