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Finding the Fourth Proportional to 256,494.95, 384,742.53 and 66,954.80

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Solution

The fourth proportional to 256,494.95, 384,742.53 and 66,954.80 is: 100,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,494.95 : 384,742.53 = 66,954.80 : x
  2. Step 2: Convert to fraction form
    256,494.95/384,742.53 = 66,954.80/x
  3. Step 3: Cross multiply
    256,494.95x = 384,742.53 × 66,954.80
  4. Step 4: Simplify right side
    256,494.95x = 25,760,357,223.93
  5. Step 5: Solve for x
    x = 25,760,357,223.93/256,494.95
  6. Step 6: Final answer
    x = 100,432.22

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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.