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Finding the Fourth Proportional to 256,329.91, 384,160.43 and 185,491.16

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Solution

The fourth proportional to 256,329.91, 384,160.43 and 185,491.16 is: 277,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,329.91 : 384,160.43 = 185,491.16 : x
  2. Step 2: Convert to fraction form
    256,329.91/384,160.43 = 185,491.16/x
  3. Step 3: Cross multiply
    256,329.91x = 384,160.43 × 185,491.16
  4. Step 4: Simplify right side
    256,329.91x = 71,258,362,329.72
  5. Step 5: Solve for x
    x = 71,258,362,329.72/256,329.91
  6. Step 6: Final answer
    x = 277,994.73

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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.