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Finding the Fourth Proportional to 617,704.42, 852,446.52 and 345,765.54

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Solution

The fourth proportional to 617,704.42, 852,446.52 and 345,765.54 is: 477,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,704.42 : 852,446.52 = 345,765.54 : x
  2. Step 2: Convert to fraction form
    617,704.42/852,446.52 = 345,765.54/x
  3. Step 3: Cross multiply
    617,704.42x = 852,446.52 × 345,765.54
  4. Step 4: Simplify right side
    617,704.42x = 294,746,631,308.92
  5. Step 5: Solve for x
    x = 294,746,631,308.92/617,704.42
  6. Step 6: Final answer
    x = 477,164.52

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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.