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Finding the Fourth Proportional to 291,819.65, 437,770.40 and 102,236.58

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Solution

The fourth proportional to 291,819.65, 437,770.40 and 102,236.58 is: 153,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,819.65 : 437,770.40 = 102,236.58 : x
  2. Step 2: Convert to fraction form
    291,819.65/437,770.40 = 102,236.58/x
  3. Step 3: Cross multiply
    291,819.65x = 437,770.40 × 102,236.58
  4. Step 4: Simplify right side
    291,819.65x = 44,756,148,010.05
  5. Step 5: Solve for x
    x = 44,756,148,010.05/291,819.65
  6. Step 6: Final answer
    x = 153,369.21

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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.