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Finding the Fourth Proportional to 203,430.80, 305,146.20 and 194,792.15

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Solution

The fourth proportional to 203,430.80, 305,146.20 and 194,792.15 is: 292,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430.80 : 305,146.20 = 194,792.15 : x
  2. Step 2: Convert to fraction form
    203,430.80/305,146.20 = 194,792.15/x
  3. Step 3: Cross multiply
    203,430.80x = 305,146.20 × 194,792.15
  4. Step 4: Simplify right side
    203,430.80x = 59,440,084,362.33
  5. Step 5: Solve for x
    x = 59,440,084,362.33/203,430.80
  6. Step 6: Final answer
    x = 292,188.23

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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.