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Finding the Fourth Proportional to 300,455.82, 450,671.76 and 75,813.24

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Solution

The fourth proportional to 300,455.82, 450,671.76 and 75,813.24 is: 113,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,455.82 : 450,671.76 = 75,813.24 : x
  2. Step 2: Convert to fraction form
    300,455.82/450,671.76 = 75,813.24/x
  3. Step 3: Cross multiply
    300,455.82x = 450,671.76 × 75,813.24
  4. Step 4: Simplify right side
    300,455.82x = 34,166,886,302.10
  5. Step 5: Solve for x
    x = 34,166,886,302.10/300,455.82
  6. Step 6: Final answer
    x = 113,716.84

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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.