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Finding the Fourth Proportional to 289,390.61, 433,993.96 and 270,499.88

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Solution

The fourth proportional to 289,390.61, 433,993.96 and 270,499.88 is: 405,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,390.61 : 433,993.96 = 270,499.88 : x
  2. Step 2: Convert to fraction form
    289,390.61/433,993.96 = 270,499.88/x
  3. Step 3: Cross multiply
    289,390.61x = 433,993.96 × 270,499.88
  4. Step 4: Simplify right side
    289,390.61x = 117,395,311,663.24
  5. Step 5: Solve for x
    x = 117,395,311,663.24/289,390.61
  6. Step 6: Final answer
    x = 405,663.86

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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.