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Finding the Fourth Proportional to 256,794.46, 384,876.20 and 144,238.08

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Solution

The fourth proportional to 256,794.46, 384,876.20 and 144,238.08 is: 216,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,794.46 : 384,876.20 = 144,238.08 : x
  2. Step 2: Convert to fraction form
    256,794.46/384,876.20 = 144,238.08/x
  3. Step 3: Cross multiply
    256,794.46x = 384,876.20 × 144,238.08
  4. Step 4: Simplify right side
    256,794.46x = 55,513,804,125.70
  5. Step 5: Solve for x
    x = 55,513,804,125.70/256,794.46
  6. Step 6: Final answer
    x = 216,179.91

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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.