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Finding the Fourth Proportional to 256,508.37, 384,427.08 and 137,924.37

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Solution

The fourth proportional to 256,508.37, 384,427.08 and 137,924.37 is: 206,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,508.37 : 384,427.08 = 137,924.37 : x
  2. Step 2: Convert to fraction form
    256,508.37/384,427.08 = 137,924.37/x
  3. Step 3: Cross multiply
    256,508.37x = 384,427.08 × 137,924.37
  4. Step 4: Simplify right side
    256,508.37x = 53,021,862,819.94
  5. Step 5: Solve for x
    x = 53,021,862,819.94/256,508.37
  6. Step 6: Final answer
    x = 206,706.17

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1.5x scale

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.