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Finding the Fourth Proportional to 313,974.16, 470,956.92 and 77,318.80

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Solution

The fourth proportional to 313,974.16, 470,956.92 and 77,318.80 is: 115,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,974.16 : 470,956.92 = 77,318.80 : x
  2. Step 2: Convert to fraction form
    313,974.16/470,956.92 = 77,318.80/x
  3. Step 3: Cross multiply
    313,974.16x = 470,956.92 × 77,318.80
  4. Step 4: Simplify right side
    313,974.16x = 36,413,823,906.10
  5. Step 5: Solve for x
    x = 36,413,823,906.10/313,974.16
  6. Step 6: Final answer
    x = 115,977.14

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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.