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Finding the Fourth Proportional to 585,102.30, 878,171.85 and 300,993.18

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Solution

The fourth proportional to 585,102.30, 878,171.85 and 300,993.18 is: 451,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,102.30 : 878,171.85 = 300,993.18 : x
  2. Step 2: Convert to fraction form
    585,102.30/878,171.85 = 300,993.18/x
  3. Step 3: Cross multiply
    585,102.30x = 878,171.85 × 300,993.18
  4. Step 4: Simplify right side
    585,102.30x = 264,323,737,717.98
  5. Step 5: Solve for x
    x = 264,323,737,717.98/585,102.30
  6. Step 6: Final answer
    x = 451,756.45

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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.