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Finding the Fourth Proportional to 385,600.80, 578,401.20 and 196,060.80

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Solution

The fourth proportional to 385,600.80, 578,401.20 and 196,060.80 is: 294,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,600.80 : 578,401.20 = 196,060.80 : x
  2. Step 2: Convert to fraction form
    385,600.80/578,401.20 = 196,060.80/x
  3. Step 3: Cross multiply
    385,600.80x = 578,401.20 × 196,060.80
  4. Step 4: Simplify right side
    385,600.80x = 113,401,801,992.96
  5. Step 5: Solve for x
    x = 113,401,801,992.96/385,600.80
  6. Step 6: Final answer
    x = 294,091.20

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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.