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Finding the Fourth Proportional to 408,857.57, 613,243.21 and 109,368.38

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Solution

The fourth proportional to 408,857.57, 613,243.21 and 109,368.38 is: 164,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.57 : 613,243.21 = 109,368.38 : x
  2. Step 2: Convert to fraction form
    408,857.57/613,243.21 = 109,368.38/x
  3. Step 3: Cross multiply
    408,857.57x = 613,243.21 × 109,368.38
  4. Step 4: Simplify right side
    408,857.57x = 67,069,413,084.06
  5. Step 5: Solve for x
    x = 67,069,413,084.06/408,857.57
  6. Step 6: Final answer
    x = 164,041.02

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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.