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Finding the Fourth Proportional to 426,812.90, 640,391.47 and 189,993.60

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Solution

The fourth proportional to 426,812.90, 640,391.47 and 189,993.60 is: 285,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,812.90 : 640,391.47 = 189,993.60 : x
  2. Step 2: Convert to fraction form
    426,812.90/640,391.47 = 189,993.60/x
  3. Step 3: Cross multiply
    426,812.90x = 640,391.47 × 189,993.60
  4. Step 4: Simplify right side
    426,812.90x = 121,670,280,319.61
  5. Step 5: Solve for x
    x = 121,670,280,319.61/426,812.90
  6. Step 6: Final answer
    x = 285,067.02

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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.