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Finding the Fourth Proportional to 713,651.73, 1,070,520.84 and 287,185.92

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Solution

The fourth proportional to 713,651.73, 1,070,520.84 and 287,185.92 is: 430,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,651.73 : 1,070,520.84 = 287,185.92 : x
  2. Step 2: Convert to fraction form
    713,651.73/1,070,520.84 = 287,185.92/x
  3. Step 3: Cross multiply
    713,651.73x = 1,070,520.84 × 287,185.92
  4. Step 4: Simplify right side
    713,651.73x = 307,438,512,314.57
  5. Step 5: Solve for x
    x = 307,438,512,314.57/713,651.73
  6. Step 6: Final answer
    x = 430,796.28

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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.