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Finding the Fourth Proportional to 347,642.64, 479,753.64 and 226,861.20

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Solution

The fourth proportional to 347,642.64, 479,753.64 and 226,861.20 is: 313,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,642.64 : 479,753.64 = 226,861.20 : x
  2. Step 2: Convert to fraction form
    347,642.64/479,753.64 = 226,861.20/x
  3. Step 3: Cross multiply
    347,642.64x = 479,753.64 × 226,861.20
  4. Step 4: Simplify right side
    347,642.64x = 108,837,486,474.77
  5. Step 5: Solve for x
    x = 108,837,486,474.77/347,642.64
  6. Step 6: Final answer
    x = 313,072.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.