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Finding the Fourth Proportional to 408,987.14, 613,471.70 and 109,467.69

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Solution

The fourth proportional to 408,987.14, 613,471.70 and 109,467.69 is: 164,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,987.14 : 613,471.70 = 109,467.69 : x
  2. Step 2: Convert to fraction form
    408,987.14/613,471.70 = 109,467.69/x
  3. Step 3: Cross multiply
    408,987.14x = 613,471.70 × 109,467.69
  4. Step 4: Simplify right side
    408,987.14x = 67,155,329,332.03
  5. Step 5: Solve for x
    x = 67,155,329,332.03/408,987.14
  6. Step 6: Final answer
    x = 164,199.12

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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.