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Finding the Fourth Proportional to 256,767.82, 385,316.97 and 138,520.78

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Solution

The fourth proportional to 256,767.82, 385,316.97 and 138,520.78 is: 207,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,767.82 : 385,316.97 = 138,520.78 : x
  2. Step 2: Convert to fraction form
    256,767.82/385,316.97 = 138,520.78/x
  3. Step 3: Cross multiply
    256,767.82x = 385,316.97 × 138,520.78
  4. Step 4: Simplify right side
    256,767.82x = 53,374,404,612.45
  5. Step 5: Solve for x
    x = 53,374,404,612.45/256,767.82
  6. Step 6: Final answer
    x = 207,870.31

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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.