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Finding the Fourth Proportional to 256,967.06, 385,448.42 and 200,854.38

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Solution

The fourth proportional to 256,967.06, 385,448.42 and 200,854.38 is: 301,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,967.06 : 385,448.42 = 200,854.38 : x
  2. Step 2: Convert to fraction form
    256,967.06/385,448.42 = 200,854.38/x
  3. Step 3: Cross multiply
    256,967.06x = 385,448.42 × 200,854.38
  4. Step 4: Simplify right side
    256,967.06x = 77,419,003,421.08
  5. Step 5: Solve for x
    x = 77,419,003,421.08/256,967.06
  6. Step 6: Final answer
    x = 301,279.87

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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.