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Finding the Fourth Proportional to 713,149.38, 984,137.85 and 386,455.86

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Solution

The fourth proportional to 713,149.38, 984,137.85 and 386,455.86 is: 533,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,149.38 : 984,137.85 = 386,455.86 : x
  2. Step 2: Convert to fraction form
    713,149.38/984,137.85 = 386,455.86/x
  3. Step 3: Cross multiply
    713,149.38x = 984,137.85 × 386,455.86
  4. Step 4: Simplify right side
    713,149.38x = 380,325,839,180.30
  5. Step 5: Solve for x
    x = 380,325,839,180.30/713,149.38
  6. Step 6: Final answer
    x = 533,304.59

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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.