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Finding the Fourth Proportional to 256,639.75, 385,025.27 and 106,830.25

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Solution

The fourth proportional to 256,639.75, 385,025.27 and 106,830.25 is: 160,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,639.75 : 385,025.27 = 106,830.25 : x
  2. Step 2: Convert to fraction form
    256,639.75/385,025.27 = 106,830.25/x
  3. Step 3: Cross multiply
    256,639.75x = 385,025.27 × 106,830.25
  4. Step 4: Simplify right side
    256,639.75x = 41,132,344,353.70
  5. Step 5: Solve for x
    x = 41,132,344,353.70/256,639.75
  6. Step 6: Final answer
    x = 160,272.70

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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.