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Finding the Fourth Proportional to 312,950.14, 469,512.70 and 102,735.70

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Solution

The fourth proportional to 312,950.14, 469,512.70 and 102,735.70 is: 154,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,950.14 : 469,512.70 = 102,735.70 : x
  2. Step 2: Convert to fraction form
    312,950.14/469,512.70 = 102,735.70/x
  3. Step 3: Cross multiply
    312,950.14x = 469,512.70 × 102,735.70
  4. Step 4: Simplify right side
    312,950.14x = 48,235,715,893.39
  5. Step 5: Solve for x
    x = 48,235,715,893.39/312,950.14
  6. Step 6: Final answer
    x = 154,132.27

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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.