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Finding the Fourth Proportional to 203,481.40, 305,513.70 and 153,909.40

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Solution

The fourth proportional to 203,481.40, 305,513.70 and 153,909.40 is: 231,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,481.40 : 305,513.70 = 153,909.40 : x
  2. Step 2: Convert to fraction form
    203,481.40/305,513.70 = 153,909.40/x
  3. Step 3: Cross multiply
    203,481.40x = 305,513.70 × 153,909.40
  4. Step 4: Simplify right side
    203,481.40x = 47,021,430,258.78
  5. Step 5: Solve for x
    x = 47,021,430,258.78/203,481.40
  6. Step 6: Final answer
    x = 231,084.66

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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.