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Finding the Fourth Proportional to 289,237.80, 433,786.74 and 111,631.56

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Solution

The fourth proportional to 289,237.80, 433,786.74 and 111,631.56 is: 167,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,237.80 : 433,786.74 = 111,631.56 : x
  2. Step 2: Convert to fraction form
    289,237.80/433,786.74 = 111,631.56/x
  3. Step 3: Cross multiply
    289,237.80x = 433,786.74 × 111,631.56
  4. Step 4: Simplify right side
    289,237.80x = 48,424,290,493.51
  5. Step 5: Solve for x
    x = 48,424,290,493.51/289,237.80
  6. Step 6: Final answer
    x = 167,420.34

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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.