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Finding the Fourth Proportional to 256,838.39, 384,735.35 and 209,621.75

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Solution

The fourth proportional to 256,838.39, 384,735.35 and 209,621.75 is: 314,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,838.39 : 384,735.35 = 209,621.75 : x
  2. Step 2: Convert to fraction form
    256,838.39/384,735.35 = 209,621.75/x
  3. Step 3: Cross multiply
    256,838.39x = 384,735.35 × 209,621.75
  4. Step 4: Simplify right side
    256,838.39x = 80,648,896,305.75
  5. Step 5: Solve for x
    x = 80,648,896,305.75/256,838.39
  6. Step 6: Final answer
    x = 314,006.39

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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.