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Finding the Fourth Proportional to 219,290.30, 328,935.54 and 82,539.08

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Solution

The fourth proportional to 219,290.30, 328,935.54 and 82,539.08 is: 123,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,290.30 : 328,935.54 = 82,539.08 : x
  2. Step 2: Convert to fraction form
    219,290.30/328,935.54 = 82,539.08/x
  3. Step 3: Cross multiply
    219,290.30x = 328,935.54 × 82,539.08
  4. Step 4: Simplify right side
    219,290.30x = 27,150,036,850.90
  5. Step 5: Solve for x
    x = 27,150,036,850.90/219,290.30
  6. Step 6: Final answer
    x = 123,808.65

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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.