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Finding the Fourth Proportional to 289,172.76, 433,689.27 and 111,566.49

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Solution

The fourth proportional to 289,172.76, 433,689.27 and 111,566.49 is: 167,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,172.76 : 433,689.27 = 111,566.49 : x
  2. Step 2: Convert to fraction form
    289,172.76/433,689.27 = 111,566.49/x
  3. Step 3: Cross multiply
    289,172.76x = 433,689.27 × 111,566.49
  4. Step 4: Simplify right side
    289,172.76x = 48,385,189,604.56
  5. Step 5: Solve for x
    x = 48,385,189,604.56/289,172.76
  6. Step 6: Final answer
    x = 167,322.78

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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.