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Finding the Fourth Proportional to 256,626.10, 385,004.82 and 106,816.60

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Solution

The fourth proportional to 256,626.10, 385,004.82 and 106,816.60 is: 160,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,626.10 : 385,004.82 = 106,816.60 : x
  2. Step 2: Convert to fraction form
    256,626.10/385,004.82 = 106,816.60/x
  3. Step 3: Cross multiply
    256,626.10x = 385,004.82 × 106,816.60
  4. Step 4: Simplify right side
    256,626.10x = 41,124,905,856.01
  5. Step 5: Solve for x
    x = 41,124,905,856.01/256,626.10
  6. Step 6: Final answer
    x = 160,252.23

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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.