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Finding the Fourth Proportional to 312,709.05, 469,063.94 and 76,050.09

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Solution

The fourth proportional to 312,709.05, 469,063.94 and 76,050.09 is: 114,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,709.05 : 469,063.94 = 76,050.09 : x
  2. Step 2: Convert to fraction form
    312,709.05/469,063.94 = 76,050.09/x
  3. Step 3: Cross multiply
    312,709.05x = 469,063.94 × 76,050.09
  4. Step 4: Simplify right side
    312,709.05x = 35,672,354,472.50
  5. Step 5: Solve for x
    x = 35,672,354,472.50/312,709.05
  6. Step 6: Final answer
    x = 114,075.22

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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.