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Finding the Fourth Proportional to 233,400.70, 349,971.45 and 100,258.30

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Solution

The fourth proportional to 233,400.70, 349,971.45 and 100,258.30 is: 150,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,400.70 : 349,971.45 = 100,258.30 : x
  2. Step 2: Convert to fraction form
    233,400.70/349,971.45 = 100,258.30/x
  3. Step 3: Cross multiply
    233,400.70x = 349,971.45 × 100,258.30
  4. Step 4: Simplify right side
    233,400.70x = 35,087,542,625.54
  5. Step 5: Solve for x
    x = 35,087,542,625.54/233,400.70
  6. Step 6: Final answer
    x = 150,331.78

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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.