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Finding the Fourth Proportional to 233,399.70, 349,969.95 and 100,257.30

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Solution

The fourth proportional to 233,399.70, 349,969.95 and 100,257.30 is: 150,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,399.70 : 349,969.95 = 100,257.30 : x
  2. Step 2: Convert to fraction form
    233,399.70/349,969.95 = 100,257.30/x
  3. Step 3: Cross multiply
    233,399.70x = 349,969.95 × 100,257.30
  4. Step 4: Simplify right side
    233,399.70x = 35,087,042,268.14
  5. Step 5: Solve for x
    x = 35,087,042,268.14/233,399.70
  6. Step 6: Final answer
    x = 150,330.28

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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.