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Finding the Fourth Proportional to 408,857.07, 613,242.46 and 109,367.87

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Solution

The fourth proportional to 408,857.07, 613,242.46 and 109,367.87 is: 164,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.07 : 613,242.46 = 109,367.87 : x
  2. Step 2: Convert to fraction form
    408,857.07/613,242.46 = 109,367.87/x
  3. Step 3: Cross multiply
    408,857.07x = 613,242.46 × 109,367.87
  4. Step 4: Simplify right side
    408,857.07x = 67,069,021,643.76
  5. Step 5: Solve for x
    x = 67,069,021,643.76/408,857.07
  6. Step 6: Final answer
    x = 164,040.26

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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.