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Finding the Fourth Proportional to 307,302.96, 462,585.36 and 219,166.32

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Solution

The fourth proportional to 307,302.96, 462,585.36 and 219,166.32 is: 329,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,302.96 : 462,585.36 = 219,166.32 : x
  2. Step 2: Convert to fraction form
    307,302.96/462,585.36 = 219,166.32/x
  3. Step 3: Cross multiply
    307,302.96x = 462,585.36 × 219,166.32
  4. Step 4: Simplify right side
    307,302.96x = 101,383,131,037.08
  5. Step 5: Solve for x
    x = 101,383,131,037.08/307,302.96
  6. Step 6: Final answer
    x = 329,912.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.