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Finding the Fourth Proportional to 347,644.64, 479,756.40 and 226,863.20

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Solution

The fourth proportional to 347,644.64, 479,756.40 and 226,863.20 is: 313,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,644.64 : 479,756.40 = 226,863.20 : x
  2. Step 2: Convert to fraction form
    347,644.64/479,756.40 = 226,863.20/x
  3. Step 3: Cross multiply
    347,644.64x = 479,756.40 × 226,863.20
  4. Step 4: Simplify right side
    347,644.64x = 108,839,072,124.48
  5. Step 5: Solve for x
    x = 108,839,072,124.48/347,644.64
  6. Step 6: Final answer
    x = 313,075.65

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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.