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Finding the Fourth Proportional to 256,137.74, 384,477.16 and 143,913.86

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Solution

The fourth proportional to 256,137.74, 384,477.16 and 143,913.86 is: 216,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,137.74 : 384,477.16 = 143,913.86 : x
  2. Step 2: Convert to fraction form
    256,137.74/384,477.16 = 143,913.86/x
  3. Step 3: Cross multiply
    256,137.74x = 384,477.16 × 143,913.86
  4. Step 4: Simplify right side
    256,137.74x = 55,331,592,177.44
  5. Step 5: Solve for x
    x = 55,331,592,177.44/256,137.74
  6. Step 6: Final answer
    x = 216,022.80

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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.