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Finding the Fourth Proportional to 209,448, 313,977.24 and 76,298.04

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Solution

The fourth proportional to 209,448, 313,977.24 and 76,298.04 is: 114,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,448 : 313,977.24 = 76,298.04 : x
  2. Step 2: Convert to fraction form
    209,448/313,977.24 = 76,298.04/x
  3. Step 3: Cross multiply
    209,448x = 313,977.24 × 76,298.04
  4. Step 4: Simplify right side
    209,448x = 23,955,848,016.61
  5. Step 5: Solve for x
    x = 23,955,848,016.61/209,448
  6. Step 6: Final answer
    x = 114,376.11

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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.