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Finding the Fourth Proportional to 408,859.83, 613,246.59 and 109,370.64

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Solution

The fourth proportional to 408,859.83, 613,246.59 and 109,370.64 is: 164,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859.83 : 613,246.59 = 109,370.64 : x
  2. Step 2: Convert to fraction form
    408,859.83/613,246.59 = 109,370.64/x
  3. Step 3: Cross multiply
    408,859.83x = 613,246.59 × 109,370.64
  4. Step 4: Simplify right side
    408,859.83x = 67,071,172,026.12
  5. Step 5: Solve for x
    x = 67,071,172,026.12/408,859.83
  6. Step 6: Final answer
    x = 164,044.42

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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.