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Finding the Fourth Proportional to 412,052.04, 617,247 and 345,304.80

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Solution

The fourth proportional to 412,052.04, 617,247 and 345,304.80 is: 517,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,052.04 : 617,247 = 345,304.80 : x
  2. Step 2: Convert to fraction form
    412,052.04/617,247 = 345,304.80/x
  3. Step 3: Cross multiply
    412,052.04x = 617,247 × 345,304.80
  4. Step 4: Simplify right side
    412,052.04x = 213,138,351,885.60
  5. Step 5: Solve for x
    x = 213,138,351,885.60/412,052.04
  6. Step 6: Final answer
    x = 517,260.76

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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.