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Finding the Fourth Proportional to 408,883.48, 613,325.05 and 109,356.28

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Solution

The fourth proportional to 408,883.48, 613,325.05 and 109,356.28 is: 164,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,883.48 : 613,325.05 = 109,356.28 : x
  2. Step 2: Convert to fraction form
    408,883.48/613,325.05 = 109,356.28/x
  3. Step 3: Cross multiply
    408,883.48x = 613,325.05 × 109,356.28
  4. Step 4: Simplify right side
    408,883.48x = 67,070,944,092.11
  5. Step 5: Solve for x
    x = 67,070,944,092.11/408,883.48
  6. Step 6: Final answer
    x = 164,034.37

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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.