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Finding the Fourth Proportional to 256,405.04, 384,607.84 and 66,865.25

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Solution

The fourth proportional to 256,405.04, 384,607.84 and 66,865.25 is: 100,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,405.04 : 384,607.84 = 66,865.25 : x
  2. Step 2: Convert to fraction form
    256,405.04/384,607.84 = 66,865.25/x
  3. Step 3: Cross multiply
    256,405.04x = 384,607.84 × 66,865.25
  4. Step 4: Simplify right side
    256,405.04x = 25,716,899,373.56
  5. Step 5: Solve for x
    x = 25,716,899,373.56/256,405.04
  6. Step 6: Final answer
    x = 100,297.95

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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.