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Finding the Fourth Proportional to 408,935.66, 613,356.57 and 109,439.57

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Solution

The fourth proportional to 408,935.66, 613,356.57 and 109,439.57 is: 164,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,935.66 : 613,356.57 = 109,439.57 : x
  2. Step 2: Convert to fraction form
    408,935.66/613,356.57 = 109,439.57/x
  3. Step 3: Cross multiply
    408,935.66x = 613,356.57 × 109,439.57
  4. Step 4: Simplify right side
    408,935.66x = 67,125,480,810.87
  5. Step 5: Solve for x
    x = 67,125,480,810.87/408,935.66
  6. Step 6: Final answer
    x = 164,146.80

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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.