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Finding the Fourth Proportional to 256,431.80, 384,718.80 and 106,742.60

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Solution

The fourth proportional to 256,431.80, 384,718.80 and 106,742.60 is: 160,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,431.80 : 384,718.80 = 106,742.60 : x
  2. Step 2: Convert to fraction form
    256,431.80/384,718.80 = 106,742.60/x
  3. Step 3: Cross multiply
    256,431.80x = 384,718.80 × 106,742.60
  4. Step 4: Simplify right side
    256,431.80x = 41,065,884,980.88
  5. Step 5: Solve for x
    x = 41,065,884,980.88/256,431.80
  6. Step 6: Final answer
    x = 160,143.50

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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.