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Finding the Fourth Proportional to 256,315.44, 384,201 and 151,183.92

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Solution

The fourth proportional to 256,315.44, 384,201 and 151,183.92 is: 226,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,315.44 : 384,201 = 151,183.92 : x
  2. Step 2: Convert to fraction form
    256,315.44/384,201 = 151,183.92/x
  3. Step 3: Cross multiply
    256,315.44x = 384,201 × 151,183.92
  4. Step 4: Simplify right side
    256,315.44x = 58,085,013,247.92
  5. Step 5: Solve for x
    x = 58,085,013,247.92/256,315.44
  6. Step 6: Final answer
    x = 226,615.35

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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.