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Finding the Fourth Proportional to 256,683.34, 385,360.35 and 206,109.37

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Solution

The fourth proportional to 256,683.34, 385,360.35 and 206,109.37 is: 309,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,683.34 : 385,360.35 = 206,109.37 : x
  2. Step 2: Convert to fraction form
    256,683.34/385,360.35 = 206,109.37/x
  3. Step 3: Cross multiply
    256,683.34x = 385,360.35 × 206,109.37
  4. Step 4: Simplify right side
    256,683.34x = 79,426,378,961.48
  5. Step 5: Solve for x
    x = 79,426,378,961.48/256,683.34
  6. Step 6: Final answer
    x = 309,433.32

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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.