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Finding the Fourth Proportional to 288,129.42, 431,844.21 and 203,914.20

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Solution

The fourth proportional to 288,129.42, 431,844.21 and 203,914.20 is: 305,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,129.42 : 431,844.21 = 203,914.20 : x
  2. Step 2: Convert to fraction form
    288,129.42/431,844.21 = 203,914.20/x
  3. Step 3: Cross multiply
    288,129.42x = 431,844.21 × 203,914.20
  4. Step 4: Simplify right side
    288,129.42x = 88,059,168,990.88
  5. Step 5: Solve for x
    x = 88,059,168,990.88/288,129.42
  6. Step 6: Final answer
    x = 305,623.66

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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.