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Finding the Fourth Proportional to 256,002.72, 384,009.66 and 78,505.80

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Solution

The fourth proportional to 256,002.72, 384,009.66 and 78,505.80 is: 117,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002.72 : 384,009.66 = 78,505.80 : x
  2. Step 2: Convert to fraction form
    256,002.72/384,009.66 = 78,505.80/x
  3. Step 3: Cross multiply
    256,002.72x = 384,009.66 × 78,505.80
  4. Step 4: Simplify right side
    256,002.72x = 30,146,985,566.03
  5. Step 5: Solve for x
    x = 30,146,985,566.03/256,002.72
  6. Step 6: Final answer
    x = 117,760.41

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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.