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Finding the Fourth Proportional to 288,043.20, 431,287.20 and 225,835.20

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Solution

The fourth proportional to 288,043.20, 431,287.20 and 225,835.20 is: 338,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,043.20 : 431,287.20 = 225,835.20 : x
  2. Step 2: Convert to fraction form
    288,043.20/431,287.20 = 225,835.20/x
  3. Step 3: Cross multiply
    288,043.20x = 431,287.20 × 225,835.20
  4. Step 4: Simplify right side
    288,043.20x = 97,399,831,069.44
  5. Step 5: Solve for x
    x = 97,399,831,069.44/288,043.20
  6. Step 6: Final answer
    x = 338,143.14

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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.