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Finding the Fourth Proportional to 509,514.60, 764,344.80 and 154,556.40

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Solution

The fourth proportional to 509,514.60, 764,344.80 and 154,556.40 is: 231,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,514.60 : 764,344.80 = 154,556.40 : x
  2. Step 2: Convert to fraction form
    509,514.60/764,344.80 = 154,556.40/x
  3. Step 3: Cross multiply
    509,514.60x = 764,344.80 × 154,556.40
  4. Step 4: Simplify right side
    509,514.60x = 118,134,380,646.72
  5. Step 5: Solve for x
    x = 118,134,380,646.72/509,514.60
  6. Step 6: Final answer
    x = 231,856.71

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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.