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Finding the Fourth Proportional to 256,874.20, 385,311.30 and 162,395.80

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Solution

The fourth proportional to 256,874.20, 385,311.30 and 162,395.80 is: 243,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,874.20 : 385,311.30 = 162,395.80 : x
  2. Step 2: Convert to fraction form
    256,874.20/385,311.30 = 162,395.80/x
  3. Step 3: Cross multiply
    256,874.20x = 385,311.30 × 162,395.80
  4. Step 4: Simplify right side
    256,874.20x = 62,572,936,812.54
  5. Step 5: Solve for x
    x = 62,572,936,812.54/256,874.20
  6. Step 6: Final answer
    x = 243,593.70

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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.