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Finding the Fourth Proportional to 256,259.98, 384,453.42 and 76,344.60

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Solution

The fourth proportional to 256,259.98, 384,453.42 and 76,344.60 is: 114,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,259.98 : 384,453.42 = 76,344.60 : x
  2. Step 2: Convert to fraction form
    256,259.98/384,453.42 = 76,344.60/x
  3. Step 3: Cross multiply
    256,259.98x = 384,453.42 × 76,344.60
  4. Step 4: Simplify right side
    256,259.98x = 29,350,943,338.80
  5. Step 5: Solve for x
    x = 29,350,943,338.80/256,259.98
  6. Step 6: Final answer
    x = 114,535.81

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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.