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Finding the Fourth Proportional to 313,863.76, 470,791.59 and 77,208.49

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Solution

The fourth proportional to 313,863.76, 470,791.59 and 77,208.49 is: 115,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,863.76 : 470,791.59 = 77,208.49 : x
  2. Step 2: Convert to fraction form
    313,863.76/470,791.59 = 77,208.49/x
  3. Step 3: Cross multiply
    313,863.76x = 470,791.59 × 77,208.49
  4. Step 4: Simplify right side
    313,863.76x = 36,349,107,768.60
  5. Step 5: Solve for x
    x = 36,349,107,768.60/313,863.76
  6. Step 6: Final answer
    x = 115,811.74

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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.