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Finding the Fourth Proportional to 313,694.80, 470,542.20 and 77,034.40

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Solution

The fourth proportional to 313,694.80, 470,542.20 and 77,034.40 is: 115,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,694.80 : 470,542.20 = 77,034.40 : x
  2. Step 2: Convert to fraction form
    313,694.80/470,542.20 = 77,034.40/x
  3. Step 3: Cross multiply
    313,694.80x = 470,542.20 × 77,034.40
  4. Step 4: Simplify right side
    313,694.80x = 36,247,936,051.68
  5. Step 5: Solve for x
    x = 36,247,936,051.68/313,694.80
  6. Step 6: Final answer
    x = 115,551.60

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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.