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Finding the Fourth Proportional to 288,150.42, 431,930.03 and 110,609.62

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Solution

The fourth proportional to 288,150.42, 431,930.03 and 110,609.62 is: 165,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,150.42 : 431,930.03 = 110,609.62 : x
  2. Step 2: Convert to fraction form
    288,150.42/431,930.03 = 110,609.62/x
  3. Step 3: Cross multiply
    288,150.42x = 431,930.03 × 110,609.62
  4. Step 4: Simplify right side
    288,150.42x = 47,775,616,484.89
  5. Step 5: Solve for x
    x = 47,775,616,484.89/288,150.42
  6. Step 6: Final answer
    x = 165,800.96

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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.