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Finding the Fourth Proportional to 714,768.91, 986,469.94 and 408,802.85

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Solution

The fourth proportional to 714,768.91, 986,469.94 and 408,802.85 is: 564,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,768.91 : 986,469.94 = 408,802.85 : x
  2. Step 2: Convert to fraction form
    714,768.91/986,469.94 = 408,802.85/x
  3. Step 3: Cross multiply
    714,768.91x = 986,469.94 × 408,802.85
  4. Step 4: Simplify right side
    714,768.91x = 403,271,722,189.25
  5. Step 5: Solve for x
    x = 403,271,722,189.25/714,768.91
  6. Step 6: Final answer
    x = 564,198.75

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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.