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Finding the Fourth Proportional to 447,265.73, 617,455.31 and 345,061.76

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Solution

The fourth proportional to 447,265.73, 617,455.31 and 345,061.76 is: 476,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,265.73 : 617,455.31 = 345,061.76 : x
  2. Step 2: Convert to fraction form
    447,265.73/617,455.31 = 345,061.76/x
  3. Step 3: Cross multiply
    447,265.73x = 617,455.31 × 345,061.76
  4. Step 4: Simplify right side
    447,265.73x = 213,060,211,177.36
  5. Step 5: Solve for x
    x = 213,060,211,177.36/447,265.73
  6. Step 6: Final answer
    x = 476,361.58

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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.