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Finding the Fourth Proportional to 256,953.89, 385,428.60 and 200,841.14

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Solution

The fourth proportional to 256,953.89, 385,428.60 and 200,841.14 is: 301,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,953.89 : 385,428.60 = 200,841.14 : x
  2. Step 2: Convert to fraction form
    256,953.89/385,428.60 = 200,841.14/x
  3. Step 3: Cross multiply
    256,953.89x = 385,428.60 × 200,841.14
  4. Step 4: Simplify right side
    256,953.89x = 77,409,920,376.18
  5. Step 5: Solve for x
    x = 77,409,920,376.18/256,953.89
  6. Step 6: Final answer
    x = 301,259.96

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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.