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Finding the Fourth Proportional to 256,960.50, 385,438.59 and 200,847.80

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Solution

The fourth proportional to 256,960.50, 385,438.59 and 200,847.80 is: 301,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,960.50 : 385,438.59 = 200,847.80 : x
  2. Step 2: Convert to fraction form
    256,960.50/385,438.59 = 200,847.80/x
  3. Step 3: Cross multiply
    256,960.50x = 385,438.59 × 200,847.80
  4. Step 4: Simplify right side
    256,960.50x = 77,414,490,909.41
  5. Step 5: Solve for x
    x = 77,414,490,909.41/256,960.50
  6. Step 6: Final answer
    x = 301,270.01

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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.