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Finding the Fourth Proportional to 288,421.47, 432,028.76 and 231,956.37

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Solution

The fourth proportional to 288,421.47, 432,028.76 and 231,956.37 is: 347,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,421.47 : 432,028.76 = 231,956.37 : x
  2. Step 2: Convert to fraction form
    288,421.47/432,028.76 = 231,956.37/x
  3. Step 3: Cross multiply
    288,421.47x = 432,028.76 × 231,956.37
  4. Step 4: Simplify right side
    288,421.47x = 100,211,821,745.42
  5. Step 5: Solve for x
    x = 100,211,821,745.42/288,421.47
  6. Step 6: Final answer
    x = 347,449.24

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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.