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Finding the Fourth Proportional to 312,786.36, 469,228.14 and 102,375.90

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Solution

The fourth proportional to 312,786.36, 469,228.14 and 102,375.90 is: 153,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,786.36 : 469,228.14 = 102,375.90 : x
  2. Step 2: Convert to fraction form
    312,786.36/469,228.14 = 102,375.90/x
  3. Step 3: Cross multiply
    312,786.36x = 469,228.14 × 102,375.90
  4. Step 4: Simplify right side
    312,786.36x = 48,037,653,137.83
  5. Step 5: Solve for x
    x = 48,037,653,137.83/312,786.36
  6. Step 6: Final answer
    x = 153,579.76

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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.