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Finding the Fourth Proportional to 256,628.12, 385,007.84 and 106,818.60

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Solution

The fourth proportional to 256,628.12, 385,007.84 and 106,818.60 is: 160,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,628.12 : 385,007.84 = 106,818.60 : x
  2. Step 2: Convert to fraction form
    256,628.12/385,007.84 = 106,818.60/x
  3. Step 3: Cross multiply
    256,628.12x = 385,007.84 × 106,818.60
  4. Step 4: Simplify right side
    256,628.12x = 41,125,998,457.82
  5. Step 5: Solve for x
    x = 41,125,998,457.82/256,628.12
  6. Step 6: Final answer
    x = 160,255.23

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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.