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Finding the Fourth Proportional to 447,329, 670,993.50 and 114,905

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Solution

The fourth proportional to 447,329, 670,993.50 and 114,905 is: 172,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,329 : 670,993.50 = 114,905 : x
  2. Step 2: Convert to fraction form
    447,329/670,993.50 = 114,905/x
  3. Step 3: Cross multiply
    447,329x = 670,993.50 × 114,905
  4. Step 4: Simplify right side
    447,329x = 77,100,508,117.50
  5. Step 5: Solve for x
    x = 77,100,508,117.50/447,329
  6. Step 6: Final answer
    x = 172,357.50

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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.