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Finding the Fourth Proportional to 312,763.68, 469,233 and 123,107.04

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Solution

The fourth proportional to 312,763.68, 469,233 and 123,107.04 is: 184,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,763.68 : 469,233 = 123,107.04 : x
  2. Step 2: Convert to fraction form
    312,763.68/469,233 = 123,107.04/x
  3. Step 3: Cross multiply
    312,763.68x = 469,233 × 123,107.04
  4. Step 4: Simplify right side
    312,763.68x = 57,765,885,700.32
  5. Step 5: Solve for x
    x = 57,765,885,700.32/312,763.68
  6. Step 6: Final answer
    x = 184,694.99

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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.