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Finding the Fourth Proportional to 289,159.60, 433,756.41 and 111,667.54

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Solution

The fourth proportional to 289,159.60, 433,756.41 and 111,667.54 is: 167,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,159.60 : 433,756.41 = 111,667.54 : x
  2. Step 2: Convert to fraction form
    289,159.60/433,756.41 = 111,667.54/x
  3. Step 3: Cross multiply
    289,159.60x = 433,756.41 × 111,667.54
  4. Step 4: Simplify right side
    289,159.60x = 48,436,511,263.93
  5. Step 5: Solve for x
    x = 48,436,511,263.93/289,159.60
  6. Step 6: Final answer
    x = 167,507.88

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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.