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Finding the Fourth Proportional to 347,380.80, 520,682.40 and 197,692.80

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Solution

The fourth proportional to 347,380.80, 520,682.40 and 197,692.80 is: 296,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,380.80 : 520,682.40 = 197,692.80 : x
  2. Step 2: Convert to fraction form
    347,380.80/520,682.40 = 197,692.80/x
  3. Step 3: Cross multiply
    347,380.80x = 520,682.40 × 197,692.80
  4. Step 4: Simplify right side
    347,380.80x = 102,935,161,566.72
  5. Step 5: Solve for x
    x = 102,935,161,566.72/347,380.80
  6. Step 6: Final answer
    x = 296,317.94

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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.