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Finding the Fourth Proportional to 313,692.86, 470,540.87 and 77,035.62

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Solution

The fourth proportional to 313,692.86, 470,540.87 and 77,035.62 is: 115,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,692.86 : 470,540.87 = 77,035.62 : x
  2. Step 2: Convert to fraction form
    313,692.86/470,540.87 = 77,035.62/x
  3. Step 3: Cross multiply
    313,692.86x = 470,540.87 × 77,035.62
  4. Step 4: Simplify right side
    313,692.86x = 36,248,407,270.61
  5. Step 5: Solve for x
    x = 36,248,407,270.61/313,692.86
  6. Step 6: Final answer
    x = 115,553.82

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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.