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Finding the Fourth Proportional to 305,451.60, 421,741.80 and 203,717.28

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Solution

The fourth proportional to 305,451.60, 421,741.80 and 203,717.28 is: 281,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,451.60 : 421,741.80 = 203,717.28 : x
  2. Step 2: Convert to fraction form
    305,451.60/421,741.80 = 203,717.28/x
  3. Step 3: Cross multiply
    305,451.60x = 421,741.80 × 203,717.28
  4. Step 4: Simplify right side
    305,451.60x = 85,916,092,358.30
  5. Step 5: Solve for x
    x = 85,916,092,358.30/305,451.60
  6. Step 6: Final answer
    x = 281,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.