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Finding the Fourth Proportional to 613,800, 920,634.32 and 164,565.92

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Solution

The fourth proportional to 613,800, 920,634.32 and 164,565.92 is: 246,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,800 : 920,634.32 = 164,565.92 : x
  2. Step 2: Convert to fraction form
    613,800/920,634.32 = 164,565.92/x
  3. Step 3: Cross multiply
    613,800x = 920,634.32 × 164,565.92
  4. Step 4: Simplify right side
    613,800x = 151,505,033,854.37
  5. Step 5: Solve for x
    x = 151,505,033,854.37/613,800
  6. Step 6: Final answer
    x = 246,831.27

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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.