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Finding the Fourth Proportional to 256,822.70, 385,234.05 and 247,145.90

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Solution

The fourth proportional to 256,822.70, 385,234.05 and 247,145.90 is: 370,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.70 : 385,234.05 = 247,145.90 : x
  2. Step 2: Convert to fraction form
    256,822.70/385,234.05 = 247,145.90/x
  3. Step 3: Cross multiply
    256,822.70x = 385,234.05 × 247,145.90
  4. Step 4: Simplify right side
    256,822.70x = 95,209,015,997.90
  5. Step 5: Solve for x
    x = 95,209,015,997.90/256,822.70
  6. Step 6: Final answer
    x = 370,718.85

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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.