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Finding the Fourth Proportional to 422,148.80, 631,840.80 and 328,145.60

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Solution

The fourth proportional to 422,148.80, 631,840.80 and 328,145.60 is: 491,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,148.80 : 631,840.80 = 328,145.60 : x
  2. Step 2: Convert to fraction form
    422,148.80/631,840.80 = 328,145.60/x
  3. Step 3: Cross multiply
    422,148.80x = 631,840.80 × 328,145.60
  4. Step 4: Simplify right side
    422,148.80x = 207,335,778,420.48
  5. Step 5: Solve for x
    x = 207,335,778,420.48/422,148.80
  6. Step 6: Final answer
    x = 491,143.83

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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.